1


                                                FILED PURSUANT TO RULE 424(b)(3)
                                                       REGISTRATION NO. 333-3766


PRICING SUPPLEMENT NO. 1                         TO PROSPECTUS DATED MAY 1, 1996
                                                  (As supplemented May 10, 1996)

                            COX COMMUNICATIONS, INC.

                               MEDIUM-TERM NOTES

                               (Fixed Rate Note)

                 (Due More Than Nine Months From Date of Issue)

                                                         
                 Designation: Fixed Rate Medium-Term                         Original Issue Date: August 9, 1996
                   Notes Due August 9, 2006

                 Principal Amount: U.S. $5,000,000                           Maturity Date: August 9, 2006

                 Issue Price (as a percentage of                             Cox's Option to Extend Maturity: None
                   Principal Amount): 100%        

                 Interest Rate: 7.19% per annum                              CUSIP: 22404Q AA 6

                 Commission or discount (as a percentage of                  Form:   [x]  Global Note
                   Principal Amount): .625%                                          [ ]  Definitive Note

                 Optional Redemption Provisions: None          
                                              

                 

         This Pricing Supplement supplements and, to the extent inconsistent
therewith, amends the description of the Notes referred to above in the
accompanying Prospectus Supplement and Prospectus.

                              PLAN OF DISTRIBUTION

         The Notes will be sold to Morgan Stanley & Co., Incorporated for
resale to one or more investors at a fixed public offering price.  After the
initial public offering of the Notes, the public offering price and any
concession or discount may be charged.

Dated: August 9, 1996