<PAGE>   1
                                  UNITED STATES

                       SECURITIES AND EXCHANGE COMMISSION

                             WASHINGTON, D. C. 20549

                                 F O R M 10-Q/A
                                 (Amendment #1)


[X] QUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES
    EXCHANGE ACT OF 1934 For the quarterly period ended June 30, 1998

                                       OR

[ ] TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES
    EXCHANGE ACT OF 1934 For the transition period from _____ to _____


Commission File Number 0-5550


                            TCI COMMUNICATIONS, INC.
              ----------------------------------------------------- 
             (Exact name of Registrant as specified in its charter)


         State of Delaware                              84-0588868
--------------------------------------      ------------------------------------
  (State or other jurisdiction of           (I.R.S. Employer Identification No.)
   incorporation or organization)


             5619 DTC Parkway
            Englewood, Colorado                               80111
--------------------------------------------               ------------
  (Address of principal executive offices)                  (Zip Code)


       Registrant's telephone number, including area code: (303) 267-5500


         Indicate by check mark whether the Registrant (1) has filed all reports
required to be filed by Section 13 or 15(d) of the Securities Exchange Act of
1934 during the preceding 12 months and (2) has been subject to such filing
requirements for the past 90 days.      Yes  X   No
                                           -----    -----  

         All of the Registrant's common stock is owned by Tele-Communications,
Inc. The number of shares outstanding of the Registrant's common stock as of
July 31, 1998, was:

                   Class A common stock - 811,655 shares; and
                      Class B common stock - 94,447 shares.


<PAGE>   2




                                   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.


                                               TCI COMMUNICATIONS, INC.





Date:  November 19, 1998                   By:   /s/ Stephen M. Brett
                                                ----------------------------
                                                     Stephen M. Brett
                                                       Executive Vice President,
                                                        General Counsel and 
                                                            Secretary





<PAGE>   3

                    TCI COMMUNICATIONS, INC. AND SUBSIDIARIES
                   (A Subsidiary of Tele-Communications, Inc.)


PART II - OTHER INFORMATION

Item 1.  Legal Proceedings.

         There were no new material legal proceedings or material developments
         in previously reported legal proceedings during the quarter ended June
         30, 1998 to which the Company or any of its consolidated subsidiaries
         is a party or of which any of its property is subject, except as
         follows:

         New Developments in Previously Reported Litigation

         As previously reported, on December 9, 1996, C. Lamont Smith and The
         Black Movie Channel, LLC filed suit in the District Court for the City
         and County of Denver against subsidiaries of Tele-Communications, Inc.
         (TCI Communications, Inc.; Mile Hi Cable Partners, LP; Liberty Media
         Corporation and Encore Media Corporation); Black Entertainment
         Television; Steve Santamaria; Media Management Group, Inc. and Virginia
         Butler. On August 5, 1997, the trial court entered an Order dismissing
         all of plaintiffs' claims against defendants Liberty and Encore as well
         as plaintiffs' first, second, fifth, and a portion of the twelfth claim
         for relief against the remaining TCI defendants. The partnership's
         motion for judgment on the pleadings was denied with respect to
         plaintiffs' remaining claims. The trial court certified its rulings for
         an immediate appeal, which was filed by plaintiffs and will take from
         12 to 18 months for a decision from the appellate court. Based upon the
         facts available, management believes that, although no assurance can be
         given as to the outcome of this action, the ultimate disposition should
         not have a material adverse effect upon the financial condition of the
         Company.






                                      II-1
<PAGE>   4



                    TCI COMMUNICATIONS, INC. AND SUBSIDIARIES
                   (A Subsidiary of Tele-Communications, Inc.)


Item 1. Legal Proceedings (continued).

         As previously reported, in January of 1995, two class action complaints
         ("Actions") were filed against Interactive Network, Inc.
         ("Interactive") and certain of its then current and former officers and
         directors (collectively the "Interactive Defendants") in the United
         States District Court for the Northern District of California which
         sought unspecified damages for alleged violations of the disclosure
         requirements of the federal securities laws. The actions were filed on
         behalf of a class of shareholders that purchased the stock of
         Interactive during the period of August 15, 1994 through November 22,
         1994. Pursuant to an order of the Court, the Actions were consolidated
         and in April 1995, a Consolidated Amended Class Action Complaint
         captioned In re Interactive Network Inc. Securities Litigation
         ("Consolidated Case") was filed in the same court which sought damages
         against the Interaction Defendants for violation of the federal
         securities law disclosure requirements during the class period May 2,
         1994 through March 31, 1995. On or about January 13, 1997, Plaintiffs
         filed a Fourth Amended Complaint, seeking damages against the
         Interactive Defendants and Tele-Communications, Inc., TCI
         Communications, Inc., TCI Development Corporation, and Gary Howard
         (collectively, "the TCI Defendants") for violation of federal
         securities law disclosure requirements during the class period May 16,
         1994 through March 31, 1995. In addition, the Fourth Amended Complaint
         sought damages against the TCI Defendants based upon the allegation
         that they were "controlling persons" of Interactive at the time the
         alleged wrongs took place. On January 30, 1997, the TCI Defendants and
         the Interactive Defendants separately moved to dismiss the Fourth
         Amended Complaint on the ground that it failed to state a cause of
         action against them. On April 4, 1997, the Court issued an order
         dismissing, with prejudice, the primary liability claims against the
         TCI Defendants. The Court granted the Plaintiffs leave to amend their
         Complaint as to their claim for violation of federal securities law
         disclosure requirements against the Interactive Defendants. The Court
         further granted Plaintiffs leave to amend their "controlling person"
         claim against the TCI Defendants. On or about April 30, 1997,
         Plaintiffs filed a Fifth Amended Complaint seeking damages for
         violation of federal securities law disclosure requirements against the
         Interactive and TCI Defendants during the class period January 19, 1994
         through March 31, 1995. The Fifth Amended Complaint also seeks damages
         against the TCI Defendants as "controlling persons." On October 9,
         1997, the Court granted the Interactive Defendants' Motion to Dismiss
         with Prejudice substantial portions of the Fifth Amended Complaint. On
         March 30, 1998 the Court entered a stipulated order dismissing all of
         the TCI Defendants from the consolidated case. The stipulated dismissal
         did not have any adverse effect upon the financial condition of the
         Company. Such stipulated dismissal represents the final resolution of
         this matter and this case will not be reported on in the future.




                                      II-2
<PAGE>   5



                    TCI COMMUNICATIONS, INC. AND SUBSIDIARIES
                   (A Subsidiary of Tele-Communications, Inc.)


Item 1. Legal Proceedings (continued).


         As previously reported, on February 24, 1997, James Dalton, et al.
         filed suit in District Court for Arapahoe County, Colorado, Case No.
         97-CV421, against Tele-Communications, Inc. and certain current and
         former officers of TCI and its subsidiary, TCI Communications, Inc.
         (John C. Malone, Brendan R. Clouston, Barry P. Marshall, Camille K.
         Jayne, Sadie N. Decker, Bruce W. Ravenel, Gerald W. Gaines, Bernard W.
         Schotters, II) and Daniel L. Ritchie and Donne F. Fisher, in their
         capacity as co-personal representatives of the Estate of Bob Magness.
         Plaintiffs filed this action under the Colorado Securities Act and
         Colorado common law on behalf of all persons who purchased TCI
         securities from January 10, 1996 through October 24, 1996 ("the class
         period"). On September 3, 1997, defendants motion to dismiss was
         denied. Defendants answered the Complaint on October 3, 1997. Discovery
         is proceeding and the parties have agreed to attend a mediation which
         will take place at some date in the future. Based upon the facts
         available, management believes that, although no assurances can be
         given as to the outcome of this action, the ultimate disposition should
         not have a material adverse effect upon the financial condition of the
         Company.

Item 4.  Submission of Matters to a Vote of Security Holders.

         At the Annual Meeting of Stockholders, held on May 21, 1998 (the
         "Meeting"), the following matters were voted upon by the stockholders
         of TCI Communications, Inc.:

         1.       The election of four directors of TCIC as follows: Donne F.
                  Fisher by 99.99% of the votes cast at the Meeting (178,129,376
                  For; 340 Withheld), Paul A. Gould by 99.99% of the votes cast
                  at the Meeting (178,129,376 For; 340 Withheld), Leo J.
                  Hindery, Jr. by 99.99% of the votes cast at the Meeting
                  (178,129,376 For; 340 Withheld), and John C. Malone by 99.99%
                  of the votes cast at the Meeting (178,129,126 For; 590
                  Withheld). The election of directors required a plurality of
                  the votes of the outstanding shares, as of the record date of
                  April 15, 1998 (the "Record Date"), of TCIC Class A Common
                  Stock, TCIC Class B Common Stock, and TCIC Cumulative
                  Exchangeable Series A Preferred Stock entitled to vote at the
                  Meeting, voting as a single class. John W. Gallivan and Marvin
                  L. Jones ceased to serve as directors of TCIC subsequent to
                  the Meeting. Prior to the Meeting, the TCIC Board of Directors
                  resolved that the number of directors to serve in such
                  capacity until the 1999 annual meeting of stockholders be
                  reduced from five to four.





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<PAGE>   6



                    TCI COMMUNICATIONS, INC. AND SUBSIDIARIES
                   (A Subsidiary of Tele-Communications, Inc.)


Item 6.  Exhibit and Reports on Form 8-K.

         (a)      Exhibit -

                  (10)     Letter Agreement dated as of November 7, 1997, 
                  between the Company and Marvin Jones *

                  (27)     TCI Communications, Inc. Financial Data Schedule *

                  ----------------
                  * Previously filed

         (b)      Reports on Form 8-K filed during the quarter ended June 30, 
                  1998:

<TABLE>
<CAPTION>
                  Date of               Item
                   Report             Reported         Financial Statements Filed
                   ------             --------         --------------------------
<S>                                <C>                  <C>
                May 6, 1998            Item 5           None.

                May 8, 1998,        Items 2, 5 and 7    CSC Holdings, Inc. (formerly
                 as amended                             Cablevision Systems  
                 on June 30,                            Corporation)
                 1998                                      Years ended
                                                           December 31, 1997, 
                                                           1996 and 1995
</TABLE>




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