SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549



                                    FORM 8-K



                                 CURRENT REPORT
                       Pursuant to Section 13 or 15(d) of
                       the Securities Exchange Act of 1934




                          Date of report: June 4, 1997
                        (Date of earliest event reported)


                  FALCON CLASSIC CABLE INCOME PROPERTIES, L.P.,
                        a California limited partnership
             (Exact name of registrant as specified in its charter)




         California                Commission File:             95-4200409
         ----------                ----------------             ----------
  (State or other jurisdiction        0-18266              (I.R.S. Employer 
   of incorporation or                                     identification No.)
        organization)


                      10900 Wilshire Boulevard, 15th Floor
                          Los Angeles, California 90024
          (Address of principal executive offices, including zip code)




                                 (310) 824-9990
                (Registrant's phone number, including area code)





          Item 5.   Other Events
        
               On or about May 15, 1997,  JJJ Group,  LLC  disseminated a letter
          stating  its  interest  in  acquiring  up to 1,500  units  of  limited
          partnership interests in Falcon Classic Cable Income Properties,  L.P.
          (the  "Registrant")  for a price of $350 per unit. This offer was made
          without  the  consent  or  involvement  of  the  Registrant's  General
          Partner. The General Partner has considered this offer, concluded that
          it is inadequate and,  accordingly,  recommended that limited partners
          not accept the offer.  Pursuant  to Rule 14e-2  promulgated  under the
          Securities  Exchange Act of 1934, as amended,  this recommendation and
          the General Partner's bases therefor were conveyed to limited partners
          in a letter dated June 4, 1997 which is filed as an exhibit hereto and
          incorporated herein by this reference.
        
        Item 7.     Financial Statements, Pro Forma
                    Financial Information and Exhibits

        
        (c)  Exhibits
        
             5.1    Letter to Limited Partners dated June 4, 1997.
        
        
                                     * * * *


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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.

                              FALCON CLASSIC CABLE INCOME PROPERTIES,L.P.
                                     a California limited partnership

                              By:  Falcon Classic Cable Investors,L.P.
                                    General Partner

                              By:  Falcon Holding Group, L.P.
                                    General Partner

                              By:  Falcon Holding Group, Inc.
                                    General Partner


Date: June 4, 1997.           By: /s/ Michael K. Menerey
                              -----------------------------------
                                   Michael K. Menerey
                                   Chief Financial Officer

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                                                     Sequentially
                                                       Numbered
               Exhibit           Description             Page
               -------           -----------             ----
                                               
                 5.1          Letter to Limited           5
                                Partners dated    
                                 June 4, 1997     
                                                  


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