SECURITIES AND EXCHANGE COMMISSION

                             Washington, D.C. 20549

                                    FORM N-8A

                 NOTIFICATION OF REGISTRATION FILED PURSUANT TO
               SECTION 8(a) OF THE INVESTMENT COMPANY ACT OF 1940


     The  undersigned  investment  company  hereby  notifies the  Securities and
Exchange  Commission  that it registers  under and pursuant to the provisions of
Section 8(a) of the Investment  Company Act of 1940 and in connection  with such
notification of registration submits the following information:

Name:  Eaton Vance Low Duration Diversified Income Fund

Address of Principal Business Office:
     The Eaton Vance Building
     255 State Street
     Boston, MA  02109

Telephone Number:  (617) 482-8260

Name and address of agent for service of process:
     Alan R. Dynner
     The Eaton Vance Building
     255 State Street
     Boston, MA  02109

Check Appropriate Box:
     Registrant is filing a Registration  Statement  pursuant to Section 8(b) of
     the  Investment  Company Act of 1940  concurrently  with the filing of Form
     N-8A:  YES [X]    NO [ ]

                                        SIGNATURE
                                        ---------

     Pursuant to the  requirements  of the  Investment  Company Act of 1940, the
Registrant has caused this notification of registration to be duly signed on its
behalf in the City of Boston and  Commonwealth of  Massachusetts  on the 19th of
April, 2004.

                                        EATON VANCE LOW DURATION DIVERSIFIED
                                        INCOME FUND


                                        By:  /s/ James B. Hawkes
                                             -----------------------------
                                             James B. Hawkes
                                             Vice President and Trustee

Attest:  /s/ Frederick S. Marius
         ------------------------------
         Frederick S. Marius
         Assistant Secretary