Form 497J FT 10240

August 17, 2022 10:01 AM EDT

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                            120 EAST LIBERTY DRIVE
                           WHEATON, ILLINOIS 60187
                               August 17, 2022
Securities and Exchange Commission
100 F Street NE
Washington D.C. 20549

Attn:     Filing Desk, Stop 1-4
Re:                                FT 10240
                   (File No. 333-265785) (CIK No. 1928602)

     In  accordance  with   the  provisions  of   Rule  497(j)  of  Regulation
C  under  the  Securities  Act  of  1933  (the "Securities Act")  this  letter
serves  to  certify  that  the  most  recent  amendment  to  the  registration
statement on  Form S-6 for the above captioned Trust does not differ from that
which would have  been filed pursuant to  Rule 497(b)  of  the Securities Act.
Amendment No.  1,  which  was  the  most recent Amendment to  the Registration
Statement, was filed electronically with the Commission on August 15, 2022.
                                          Very truly yours,
                                          FT 10240, Registrant

                                          /s/ First Trust Portfolios L.P.

                                          By: FIRST TRUST PORTFOLIOS L.P.,

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