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 (Date of earliest event reported):
                        May 1, 1998 (April 30, 1998)

                       AMERICAN TOWER SYSTEMS CORPORATION
             (Exact name of registrant as specified in its charter)

       Delaware                         333-46025            65-0598206
(State or Other Jurisdiction           (Commission         (IRS Employer
 of Incorporation)                     File Number)        Identification No.)





                              116 Huntington Avenue
                           Boston, Massachusetts 02116
               (Address of Principal Executive Offices, Zip Code)




                                 (617) 375-7500
              (Registrant's telephone number, including area code)









Item 5.  Other Events

      On April 30, 1998,  American  Tower Systems  Corporation  issued the press
release attached herewith as Exhibit 99.

Item 7.  Exhibits

         Press Release, dated April 30, 1998.......................  Exhibit 99



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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.


                                       AMERICAN TOWER SYSTEMS
                                       CORPORATION
                                       (Registrant)


Date: May 1, 1998                   By: /s/ Justin D. Benincasa
                                           Name: Justin D. Benincasa
                                           Title: Vice President and 
                                                    Corporate Controller









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