Star Scientific, Inc.

Exhibit 10.2

ATTACHMENT A

NEITHER THESE SECURITIES NOR THE SECURITIES INTO WHICH THESE SECURITIES ARE CONVERTIBLE HAVE BEEN REGISTERED WITH THE SECURITIES AND EXCHANGE COMMISSION IN RELIANCE UPON AN EXEMPTION FROM REGISTRATION UNDER THE SECURITIES ACT OF 1933, AS AMENDED (THE “SECURITIES ACT”), AND, ACCORDINGLY, MAY NOT BE OFFERED OR SOLD EXCEPT PURSUANT TO AN EFFECTIVE REGISTRATION STATEMENT UNDER THE SECURITIES ACT OR AFTER RECEIPT BY THE COMPANY OF AN OPINION OF COUNSEL SATISFACTORY TO THE COMPANY THAT SUCH REGISTRATION IS NOT REQUIRED UNDER THE SECURITIES ACT .

COMMON STOCK PURCHASE WARRANT

To Purchase 1,000,000 Shares of $0.0001 par value Common Stock of

Star Scientific, Inc.

THIS COMMON STOCK PURCHASE WARRANT (the “Warrant”) CERTIFIES that, for value received, Iroquois Capital (the “Holder”), is entitled, upon the terms and subject to the limitations on exercise and the conditions hereinafter set forth, at any time on or after September 15, 2005 (the “Initial Exercise Date”) and on or prior to the close of business on June 15, 2006 (the “Termination Date”) but not thereafter (the “Exercise Period”), to subscribe for and purchase from Star Scientific, Inc., a corporation incorporated in Delaware (the “Company”), up to 1,000,000 shares (the “Warrant Shares”) of Common Stock, par value $0.0001 per share, of the Company (the “Common Stock”). The purchase price of one share of Common Stock (the “Exercise Price”) under this Warrant shall be $4.00, subject to adjustment hereunder. The Exercise Price and the number of Warrant Shares for which the Warrant is exercisable shall be subject to adjustment as provided herein. The term “Holder” shall refer to the Holder identified above or any subsequent transferee of this Warrant.

1. Authorization of Warrant Shares. The Company represents and warrants that all Warrant Shares which may be issued upon the exercise of the purchase rights represented by this Warrant will, upon exercise of the purchase rights represented by this Warrant, be duly authorized, validly issued, fully paid and nonassessable.

2. Exercise of Warrant.

(a) Except as provided in Section 3 herein, exercise of the purchase rights represented by this Warrant may be made at any time or times on or after the Initial Exercise Date and before or on the Termination Date by (i) surrendering this Warrant, with the Notice of Exercise Form annexed hereto completed and duly executed, to the offices of the Company (or such other office or agency (including the transfer agent, if applicable) of the Company as it may designate by notice in writing to the registered Holder at the address of such Holder appearing on the books of the Company) and (ii) delivering payment of the Exercise Price of the shares thereby purchased by wire transfer of immediately available funds or cashier’s check drawn on a United States bank. The

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Holder exercising its purchase rights in accordance with the preceding sentence shall be entitled to receive a certificate for the number of Warrant Shares so purchased, which certificate will bear a legend substantially similar to the legend set forth on this Warrant. Certificates for shares purchased hereunder shall be delivered to the Holder within five (5) Trading Days (as defined below) after the date on which this Warrant shall have been exercised as aforesaid. This Warrant shall be deemed to have been exercised and such certificate or certificates shall be deemed to have been issued, and the Holder shall be deemed to no longer hold this Warrant with respect to such shares and to have become a holder of record of such shares for all purposes, in each case as of the date the Warrant has been exercised by payment to the Company of the Exercise Price and all taxes required to be paid by the Holder, if any, pursuant to Section 4 prior to the issuance of such shares, have been paid.

(b) In the event that the Warrant is not exercised in full, the number of Warrant Shares shall be reduced by the number of such Warrant Shares for which this Warrant is exercised and/or surrendered, and the Company, if requested by Holder and at its expense, shall within ten (10) Trading Days issue and deliver to the Holder a new Warrant of like tenor in the name of the Holder or as the Holder (upon payment by Holder of any applicable transfer taxes) may request, reflecting such adjusted Warrant Shares.

“Trading Day” shall mean a day on which there is trading on the principal market or such other market or exchange on which the Common Stock is then principally traded.

(c) Exercise Limitations.

(i) 4.99% Limitation. Notwithstanding anything to the contrary contained herein, the number of shares of Common Stock that may be acquired by the Holder upon exercise pursuant to the terms hereof shall not, when added to the total number of shares of Common Stock deemed beneficially owned by such Holder at such time (other than by virtue of the ownership of securities or rights to acquire securities (including the Warrant Shares) that have limitations on the Holder’s right to convert, exercise or purchase similar to the limitation set forth herein), as determined pursuant to the rules and regulations promulgated under Section 13(d) of the Securities Exchange Act of 1934, as amended (the “Exchange Act”), including all shares of Common Stock deemed beneficially owned (other than by virtue of the ownership of securities or rights to acquire securities that have limitations on the right to convert, exercise or purchase similar to the limitations set forth herein) at such time by persons that would be aggregated for purposes of determining whether a group under Section 13(d) of the Exchange Act exists, exceed 4.99% of the total issued and outstanding shares of the Common Stock (the “Restricted Ownership Percentage”). Holder shall have the right (w) at any time and from time to time to reduce its Restricted Ownership Percentage immediately upon notice to the Company and (x) (subject to waiver) at any time and from time to time, to increase its Restricted Ownership Percentage immediately in the event of the announcement as pending or planned, of a Change in Control Transaction (as defined below).

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As used herein, a “Change in Control Transaction” will be deemed to exist if (i) there occurs any consolidation, merger or other business combination of the Company with or into any other corporation or other entity or person (whether or not the Company is the surviving corporation), or any other corporate reorganization or transaction or series of related transactions in which in any of such events the voting stockholders of the Company prior to such event cease to own 50% or more of the voting stock, or corresponding voting equity interests, of the surviving corporation after such event (including without limitation any “going private” transaction under Rule 13e-3 promulgated pursuant to the Exchange Act or tender offer by the Company under Rule 13e-4 promulgated pursuant to the Exchange Act for 20% or more of the Company’s Common Stock), (ii) any person (as defined in Section 13(d) of the Exchange Act), together with its affiliates and associates (as such terms are defined in Rule 405 under the Act), beneficially owns or is deemed to beneficially own (as described in Rule 13d-3 under the Exchange Act without regard to the 60-day exercise period) in excess of 50% of the Company’s voting power, (iii) there is a replacement of more than one-half of the members of the Company’s Board of Directors which is not approved by those individuals who are members of the Company’s Board of Directors on the date thereof, or (iv) in one or a series of related transactions, there is a sale or transfer of all or substantially all of the assets of the Company, determined on a consolidated basis, (v) the approval or public announcement of any of the events set forth in (i), (ii), (iii), or (iv) above, or (vi) the execution by the Company of an agreement to which the Company is a party or which it is bound providing for an event set forth in (i), (ii), (iii) or (iv) above.

3. No Fractional Shares or Scrip. No fractional shares or scrip representing fractional shares shall be issued upon the exercise of this Warrant. As to any fraction of a share which Holder would otherwise be entitled to purchase upon such exercise, the Company shall pay a cash adjustment in respect of such final fraction in an amount equal to such fraction multiplied by the Exercise Price.

4. Charges, Taxes and Expenses. Issuance of certificates for Warrant Shares shall be made without charge to the Holder for any issue tax or other incidental expense in respect of the issuance of such certificate, all of which taxes and expenses shall be paid by the Company, and such certificates shall be issued in the name of the Holder; provided, however, that the Holder shall pay any applicable transfer taxes.

5. Closing of Books. The Company will not close its stockholder books or records in any manner which prevents the timely exercise of this Warrant, pursuant to the terms hereof.

6. Division and Combination.

(a) This Warrant may be divided or combined with other Warrants upon presentation hereof at the aforesaid office of the Company, together with a written notice specifying the denominations in which new Warrants are to be issued, signed by the Holder or its agent or attorney. The Company shall execute and deliver a new Warrant or Warrants in exchange for the Warrant or Warrants to be divided or combined in accordance with such notice

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(b) The Company shall prepare, issue and deliver at its own expense (other than transfer taxes) the new Warrant or Warrants under this Section 6.

7. No Rights as Stockholder until Exercise. This Warrant does not entitle the Holder to any voting rights or other rights as a stockholder of the Company prior to the exercise hereof. Upon the surrender of this Warrant and the payment of the aggregate Exercise Price, the Warrant Shares so purchased shall be and be deemed to be issued to such Holder as the record owner of such shares as of the close of business on the later of the date of such surrender or payment and this Warrant shall no longer be issuable with respect to such Warrant Shares.

8. Loss, Theft, Destruction or Mutilation of Warrant. The Company covenants that upon receipt by the Company of evidence reasonably satisfactory to it of the loss, theft, destruction or mutilation of this Warrant or any stock certificate relating to the Warrant Shares, and in case of loss, theft or destruction, of indemnity or security reasonably satisfactory to it, and upon surrender and cancellation of such Warrant or stock certificate, if mutilated, the Company will make and deliver a new Warrant or stock certificate of like tenor and dated as of such cancellation, in lieu of such Warrant or stock certificate.

9. Saturdays, Sundays, Holidays, etc. If the last or appointed day for the taking of any action or the expiration of any right required or granted herein shall be a Saturday, Sunday or a legal holiday, then such action may be taken or such right may be exercised on the next succeeding day not a Saturday, Sunday or legal holiday.

10. Adjustments of Exercise Price and Number of Warrant Shares. The number and kind of securities purchasable upon the exercise of this Warrant and the Exercise Price shall be subject to adjustment from time to time upon the happening of any of the following. In case the Company shall (i) pay a dividend in shares of Common Stock or make a distribution in shares of Common Stock to holders of its outstanding Common Stock, (ii) subdivide its outstanding shares of Common Stock into a greater number of shares, (iii) combine its outstanding shares of Common Stock into a smaller number of shares of Common Stock, or (iv) issue any shares of its capital stock in a reclassification of the Common Stock, then the number of Warrant Shares purchasable upon exercise of this Warrant immediately prior thereto shall be adjusted so that the Holder shall be entitled to receive the kind and number of Warrant Shares or other securities of the Company which it would have owned or have been entitled to receive had such Warrant been exercised in advance thereof. Upon each such adjustment of the kind and number of Warrant Shares or other securities of the Company which are purchasable hereunder, the Holder shall thereafter be entitled to purchase the number of Warrant Shares or other securities resulting from such adjustment at an Exercise Price per Warrant Share or other security obtained by multiplying the Exercise Price in effect immediately prior to such adjustment by the number of Warrant Shares purchasable pursuant hereto immediately prior to such adjustment and dividing by the number of Warrant Shares or other securities of the Company purchasable pursuant hereto as a result of such adjustment. An adjustment made pursuant to this paragraph shall become effective immediately after the effective date of such event retroactive to the record date, if any, for such event.

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11. Reorganization, Reclassification, Merger, Consolidation or Disposition of Assets. In case the Company shall reorganize its capital, reclassify its capital stock, consolidate or merge with or into another corporation (where the Company is not the surviving corporation or where there is a change in or distribution with respect to the Common Stock of the Company), or sell, transfer or otherwise dispose of all or substantially all its property, assets or business to another corporation and, pursuant to the terms of such reorganization, reclassification, merger, consolidation or disposition of assets, shares of common stock of the successor or acquiring corporation, or any cash, shares of stock or other securities or property of any nature whatsoever (including warrants or other subscription or purchase rights) in addition to or in lieu of common stock of the successor or acquiring corporation (“Other Property”), are to be received by or distributed to the holders of Common Stock of the Company, then the Holder shall have the right thereafter to receive upon exercise of this Warrant, the number of shares of common stock of the successor or acquiring corporation or Common Stock of the Company, if it is the surviving corporation, and Other Property receivable upon or as a result of such reorganization, reclassification, merger, consolidation or disposition of assets by a Holder of the number of shares of Common Stock for which this Warrant is exercisable immediately prior to such event. In case of any such reorganization, reclassification, merger, consolidation or disposition of assets, the successor or acquiring corporation (if other than the Company) shall expressly assume all the obligations and liabilities of the Company hereunder, subject to such modifications as may be deemed appropriate (as determined in good faith by resolution of the Board of Directors of the Company) in order to provide for adjustments of Warrant Shares for which this Warrant is exercisable which shall be as nearly equivalent as practicable to the adjustments provided for in this Section 11. For purposes of this Section 11, “common stock of the successor or acquiring corporation” shall include stock of such corporation of any class which is not preferred as to dividends or assets over any other class of stock of such corporation and which is not subject to redemption and shall also include any evidences of indebtedness, shares of stock or other securities which are convertible into or exchangeable for any such stock, either immediately or upon the arrival of a specified date or the happening of a specified event and any warrants or other rights to subscribe for or purchase any such stock. The foregoing provisions of this Section 11 shall similarly apply to successive reorganizations, reclassifications, mergers, consolidations, spin-offs, or dispositions of assets.

12. Notice of Adjustment. Whenever the number of Warrant Shares or number or kind of securities or other property purchasable upon the exercise of this Warrant or the Exercise Price is adjusted, as herein provided, the Company shall give notice thereof to the Holder, which notice shall state the number of Warrant Shares (and other securities or property) purchasable upon the exercise of this Warrant and the Exercise Price of such Warrant Shares (and other securities or property) after such adjustment, setting forth a brief statement of the facts requiring such adjustment and setting forth the computation by which such adjustment was made.

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13. Notice of Corporate Action. If at any time:

(a) the Company shall take a record of the holders of its Common Stock for the purpose of entitling them to receive a dividend or other distribution, or any right to subscribe for or purchase any evidences of its indebtedness, any shares of stock of any class or any other securities or property, or to receive any other right, or

(b) there shall be any capital reorganization of the Company, any reclassification or recapitalization of the capital stock of the Company or any consolidation or merger of the Company with, or any sale, transfer or other disposition of all or substantially all the property, assets or business of the Company to, another corporation or,

(c) there shall be a voluntary or involuntary dissolution, liquidation or winding up of the Company;

then, in any one or more of such cases, the Company shall give to Holder (i) at least five business days’ prior written notice of the date on which a record date shall be selected for such dividend, distribution or right or for determining rights to vote in respect of any such reorganization, reclassification, merger, consolidation, sale, transfer, disposition, liquidation or winding up, and (ii) in the case of any such reorganization, reclassification, merger, consolidation, sale, transfer, disposition, dissolution, liquidation or winding up, at least five business days’ prior written notice of the date when the same shall take place. Such notice in accordance with the foregoing clause also shall specify (i) the date on which any such record is to be taken for the purpose of such dividend, distribution or right, the date on which the holders of Common Stock shall be entitled to any such dividend, distribution or right, and the amount and character thereof, and (ii) the date on which any such reorganization, reclassification, merger, consolidation, sale, transfer, disposition, dissolution, liquidation or winding up is to take place and the time, if any such time is to be fixed, as of which the holders of Common Stock shall be entitled to exchange their Warrant Shares for securities or other property deliverable upon such disposition, dissolution, liquidation or winding up. Each such written notice shall be sufficiently given if addressed to Holder at the last address of Holder appearing on the books of the Company and delivered in accordance with Section 15(d).

14. Authorized Shares. The Company covenants that during the period the Warrant is outstanding, it will reserve from its authorized and unissued Common Stock a sufficient number of shares to provide for the issuance of the Warrant Shares upon the exercise of any purchase rights under this Warrant. The Company will take all such reasonable action as may be necessary to assure that such Warrant Shares may be issued as provided herein without violation of any applicable law or regulation.

Except and to the extent as waived or consented to by the Holder, the Company shall not by any action, including, without limitation, amending its certificate of incorporation or through any reorganization, transfer of assets, consolidation, merger, dissolution, issue or sale of securities or any other voluntary action, avoid or seek to avoid the observance or performance of any of the terms of this Warrant, but will at all

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times in good faith assist in the carrying out of all such terms and in the taking of all such actions as may be necessary or appropriate to protect the rights of Holder as set forth in this Warrant against impairment. Without limiting the generality of the foregoing, the Company will (a) not increase the par value of any Warrant Shares above the amount payable therefor upon such exercise immediately prior to such increase in par value and (b) take all such action as may be necessary or appropriate in order that the Company may validly and legally issue fully paid and nonassessable Warrant Shares upon the exercise of this Warrant.

15. Miscellaneous.

(a) Jurisdiction. This Warrant shall constitute a contract under the laws of the State of New York, without regard to its conflict of law, principles or rules.

(b) Restrictions. The Holder acknowledges that the Warrant Shares acquired upon the exercise of this Warrant will have restrictions upon resale imposed by state and federal securities laws and/or as set forth in the Securities Purchase and Registration Rights Agreement, dated September 15, 2005, by and between the Company and the Holder.

(c) Nonwaiver and Expenses. No course of dealing or any delay or failure to exercise any right hereunder on the part of Holder shall operate as a waiver of such right or otherwise prejudice Holder’s rights, powers or remedies, provided, however, that all rights hereunder terminate on the Termination Date. If the Company willfully and knowingly fails to comply with any provision of this Warrant, which results in any material damages to the Holder, the Company shall pay to Holder such amounts as shall be sufficient to cover any costs and expenses including, but not limited to, reasonable attorneys’ fees, including those of appellate proceedings, incurred by Holder in collecting any amounts due pursuant hereto or in otherwise enforcing any of its rights, powers or remedies hereunder.

(d) Notices. All notices, requests, consents and other communications provided for herein shall be in writing and shall be effective upon delivery in person, when faxed and received, or five business days after being mailed by certified or registered mail, return receipt requested, postage pre-paid, addressed as follows:

Iroquois Capital

641 Lexington Avenue

26^th Floor

New York, NY 10022

Telephone: (212) 974-3070

Facsimile:

Attention: Joshua Silverman

or to the address of the Holder as shown on the books of the Company; or

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Star Scientific, Inc.

801 Liberty Way

Chester, Virginia 23836

Telephone: (804) 530-0535

Facsimile: (804) 530-8474

Attention: Chief Financial Officer

with a copy to:

Star Scientific, Inc.

7475 Wisconsin Avenue

Suite 850

Bethesda, MD 20814

Telephone: (301) 654-8300

Facsimile: (301) 654-9308

Attention: General Counsel

or at such other address as the Holder or the Company, as applicable, may hereafter have advised the other in accordance with the provisions of this paragraph.

(e) Limitation of Liability. No provision hereof, in the absence of any affirmative action by Holder to exercise this Warrant or purchase Warrant Shares, and no enumeration herein of the rights or privileges of Holder, shall give rise to any liability of Holder for the purchase price of any Common Stock or as a stockholder of the Company, whether such liability is asserted by the Company or by creditors of the Company.

(f) Successors and Assigns; No Assignment. This Warrant and the rights and obligations evidenced hereby shall inure to the benefit of and be binding upon the successors of the Company, provided that neither the Company (except pursuant to a transaction subject to Section 11 herein) nor the Holder may assign this Warrant without the prior written consent of the other party.

(g) Amendment. This Warrant may be modified or amended or the provisions hereof waived with the written consent of the Company and the Holder.

(h) Severability. Wherever possible, each provision of this Warrant shall be interpreted in such manner as to be effective and valid under applicable law, but if any provision of this Warrant shall be prohibited by or invalid under applicable law, such provision shall be ineffective to the extent of such prohibition or invalidity, without invalidating the remainder of such provisions or the remaining provisions of this Warrant.

(i) Headings. The headings used in this Warrant are for the convenience of reference only and shall not, for any purpose, be deemed a part of this Warrant.

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IN WITNESS WHEREOF, the Company has caused this Warrant to be executed by its officer thereunto duly authorized.

Dated: September 15, 2005

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NOTICE OF EXERCISE

To:        Star Scientific, Inc.

(1) The undersigned hereby elects to purchase                          Warrant Shares of Star Scientific, Inc. pursuant to the terms of the attached Warrant, and tenders herewith payment of the exercise price in full, together with all applicable transfer taxes, if any.

(2) Payment shall take the form of in lawful money of the United States.

(3) Please issue a certificate or certificates representing said Warrant Shares in the name of the undersigned. The Warrant Shares shall be delivered to the following:

(4) Accredited Investor/Qualified Institutional Buyer. The undersigned is an “accredited investor” as defined in Regulation D under the Securities Act of 1933, as amended.