FORM 6-K

                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                        Report of Foreign Private Issuer


                      Pursuant to Rule 13a-16 or 15d-16 of
                       the Securities Exchange Act of 1934


                           For the month of May, 2007

                         Commission File Number 1-15236

                              Advantest Corporation
                              ---------------------
                 (Translation of Registrant's Name Into English)

                         Shin Marunouchi Center Building
                         -------------------------------
                                1-6-2, Marunouchi
                                -----------------
                                   Chiyoda-ku
                                   ----------
                                 Tokyo 100-0005
                                 --------------
                                      Japan
                                      -----
                    (Address of Principal Executive Offices)


         Indicate by check mark whether the registrant files or will file annual
reports under cover of Form 20-F or Form 40-F.

                              Form 20-F  X  Form 40-F
                                        ---           ---
         Indicate by check mark if the  registrant is submitting the Form 6-K in
paper as permitted by Regulation S-T Rule 101(b)(1): _________

         Indicate by check mark if the  registrant is submitting the Form 6-K in
paper as permitted by Regulation S-T Rule 101(b)(7): _________

         Indicate  by check  mark  whether  the  registrant  by  furnishing  the
information contained in this Form is also thereby furnishing the information to
the Commission  pursuant to Rule 12g3-2(b) under the Securities  Exchange Act of
1934.

                                    Yes     No  X
                                        ---    ---
         If "Yes" is marked,  indicate  below the file  number  assigned  to the
registrant in connection with Rule 12g3-2(b): _________




Material Contained in this Report:


     1.   English translation of a press release dated May 18, 2007, relating to
          an announcement with respect to the registrant's share repurchase on
          the market and the completion of repurchase.






                                   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, thereunto duly authorized.




                                                 Advantest Corporation



                                                 By: /s/ Hitoshi Owada
                                                    ----------------------------
                                                    Name:  Hitoshi Owada
                                                    Title: Director and Managing
                                                           Executive Officer




Date:  May 18, 2007