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

                                  JULY 30, 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               (IRS Employer
      of Incorporation)             File Number)          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 July 30, 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 July 30, 2004, Geron Corporation issued an earnings release
announcing its financial results for the three and six months ended June 30,
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:  July 30, 2004                  By: /s/ William D. Stempel
                                          --------------------------------------
                                      Name:  William D. Stempel
                                      Title: Vice President and General Counsel









                                  EXHIBIT INDEX




     Exhibit
     -------

       99.1        Press release dated July 30, 2004.