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                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                    FORM 8-K

                                 CURRENT REPORT
                     Pursuant to Section 13 or 15(d) of the
                       SECURITIES AND EXCHANGE ACT OF 1934

       Date of Report (Date of earliest event reported): October 29, 2003


                                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)


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Item 5.  Other Events.

On October 29, 2003, Geron Corporation announced the pricing of its previously
announced public offering of five million shares of its common stock.

The Company's press release announcing the pricing of the offering is filed as
an exhibit to this Current Report on Form 8-K. The summary description of the
event is qualified in its entirety by reference to the document filed as an
exhibit hereto.














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Item 7.  Exhibits.

Exhibits
--------

  99.1           Press Release dated October 29, 2003.














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                                   SIGNATURES


     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:    October 29, 2003            By:      /s/ William D. Stempel
                                              ----------------------------------
                                     Name:    William D. Stempel
                                     Title:   Vice President and General Counsel













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                                  EXHIBIT INDEX

Exhibits
--------

  99.1           Press Release dated October 29, 2003.












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