SECURITIES AND EXCHANGE COMMISSION


                              Washington, DC 20549



                                    FORM 8-K


                                 CURRENT REPORT

                     PURSUANT TO SECTION 13 OR 15(D) OF THE
                         SECURITIES EXCHANGE ACT OF 1934

                                 APRIL 29, 2004
                Date of Report (Date of earliest event reported)




                                GERON CORPORATION

             (Exact name of registrant as specified in its charter)


          Delaware                    0-20859                  75-2287752
(State or Other Jurisdiction   (Commission File Number)       (IRS Employer
      of Incorporation)                                   Identification Number)

      230 Constitution Drive                                      94025
     Menlo Park, California                                     (Zip Code)
 (Address of principal executive
             offices)

                                 (650) 473-7700
              (Registrant's telephone number, including area code)

                                       N/A
          (Former Name or Former Address, if Changed Since Last Report)










Item 7.  Exhibits

   (c)   Exhibits

         99.1     Press release dated April 29, 2004.


Item 9.  Regulation FD Disclosure


     Pursuant to Securities and Exchange Commission Release Nos. 33-8216 and
34-47583, Geron Corporation is furnishing this information under Items 9 and 12
of Form 8-K.

     The information in this Current Report is being furnished and shall not be
deemed "filed" for the purposes of Section 18 of the Securities Exchange Act of
1934, as amended, or otherwise subject to the liabilities of that Section. The
information in this Current Report shall not be incorporated by reference into
any registration statement or other document pursuant to the Securities Act of
1933, as amended.

     On April 29, 2004, Geron Corporation issued an earnings release announcing
its financial results for the three months ended March 31, 2004. A copy of the
earnings release is attached as Exhibit 99.1.












                                    SIGNATURE


         Pursuant to the requirements of the Securities Exchange Act of 1934,
the Registrant has duly caused this report to be signed on its behalf by the
undersigned hereunto duly authorized.


                                       GERON CORPORATION



Date:    April 29, 2004                By:   /s/ William D. Stempel
                                             ---------------------------------
                                       Name: William D. Stempel
                                       Title: Vice President and General Counsel








                                  EXHIBIT INDEX




     Exhibit
     -------

       99.1          Press release dated April 29, 2004.