FORM OF LOCK-UP AGREEMENT

                                  EXHIBIT 10.4

                            FORM OF LOCK-UP AGREEMENT

[DATE]

[List of Purchasers]

      Re: Securities Purchase Agreement dated __, 2005 (the "Agreement") by

          and among, Euroseas Ltd., (the "Company") and the purchasers signatory

          thereto (each, a "Purchaser" and collectively referred to as the

          "Purchasers")

Ladies and Gentlemen:

Defined terms not otherwise defined herein (the "Letter Agreement") shall have

the meanings set forth in the Agreement. Pursuant to Section 2.2(a) of the

Agreement and in satisfaction of a condition of the Purchasers' obligations

under the Agreement, the undersigned irrevocably agrees with the Purchasers

that, from the date hereof until the date that is the six month anniversary of

the Effective Date (such period, the "Restrict