<PAGE>

                                                                  EXHIBIT 10.4.1

                                FIRST AMENDMENT
                                ---------------

     THIS FIRST AMENDMENT (this "Amendment") is made and entered into as of this
8th day of July, 1999, by and among KNOLOGY HOLDINGS, INC., a Delaware
corporation, as Guarantor, certain Subsidiaries of the Guarantor identified on
the signature pages hereto (excluding KNOLOGY of Georgia, Inc.), as borrowers
(collectively, the "Borrowers"), the Lenders referred to in the Credit Agreement
defined below, and FIRST UNION NATIONAL BANK, as Administrative Agent for the
Lenders.

                              Statement of Purpose
                              --------------------

     The Lenders agreed to extend certain credit facilities to the Borrowers
pursuant to the Credit Agreement dated as of December 22, 1998 (as amended,
restated, supplemented or otherwise modified, the "Credit Agreement") by and
among the Borrowers, the Guarantor, the Lenders and the Administrative Agent.
All capitalized terms used and not defined in this Amendment shall have the
meanings assigned thereto in the Credit Agreement.

     The Borrowers have requested certain amendments to the financial covenants
and definitions relating thereto contained in the Credit Agreement as set forth
more fully below.

     Subject to the terms and conditions hereof, the Administrative Agent and
the Lenders are willing to agree to such amendments.

     NOW THEREFORE, for good and valuable consideration, the receipt and
adequacy of which is hereby acknowledged, the parties hereto agree as follows:

     1. Amendment to Article I. Section 1.1 is hereby amended by deleting the
        -----------------------
word "and" in the last line of the definition of "Service Connections" and
                                                  -------------------
inserting the word "or" therefor.

     3. Amendment to Article IX. Section 9.4 is hereby amended by deleting the
word "average" from the next to last line of subsection (a) of that Section 9.4
and inserting the word "ending " therefor.

     4. Conditions. The effectiveness of the Amendment set forth herein shall be
        -----------
conditioned upon the delivery to the Administrative Agent of this Amendment
executed by the Administrative Agent, the Borrowers, the Guarantor and the
Required Lenders.

     5. Effect of Amendment. Except as expressly amended hereby, the Credit
        --------------------
Agreement and Loan Documents shall be and remain in full force and effect. The
amendments granted in this Amendment are specific and limited and shall not
constitute any further amendment of the Credit Agreement or a modification,
acceptance or waiver of any other provision of or default under the Credit
Agreement or any other document or instrument entered into in connection
therewith or a future modification, acceptance or waiver of the provisions set
forth therein.

     6. Representations and Warranties/No Default. By its execution hereof, the
        ------------------------------------------
Borrowers hereby certify that each of the representations and warranties set
forth in the Credit Agreement
<PAGE>

and the other Loan Documents is true and correct as of the date hereof as if
fully set forth herein (other than representations and warranties which speak as
of a specific date pursuant to the Credit Agreement, which representations and
warranties shall have been true and correct as of such specific dates) and that
as of the date hereof (and after giving effect hereto) no Default or Event of
Default has occurred and is continuing.

     7. Expenses. The Borrowers shall pay all reasonable out-of-pocket expenses
        ---------
of the Administrative Agent in connection with the preparation, execution and
delivery of this Amendment, including without-limitation, the reasonable fees
and disbursements of counsel for the Administrative Agent.

     8. Governing Law. This Amendment shall be governed by and construed in
        --------------
accordance with the laws of the State of North Carolina, without reference to
the conflicts or choice of law provisions thereof.

     9. Counterparts. This Amendment may be executed in separate counterparts,
        -------------
each of which when executed and delivered is an original but all of which taken
together constitute one and the same instrument.

                            [Signature Pages Follow]
<PAGE>

IN WITNESS WHEREOF, the parties hereto have caused this Amendment to be executed
under seal by their duly authorized officers, all as of the day and year first
written above.


[CORPORATE SEAL]              KNOLOGY OF COLUMBUS, INC., as Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              KNOLOGY OF MONTGOMERY, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              KNOLOGY OF PANAMA CITY, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              KNOLOGY OF AUGUSTA, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------
<PAGE>

[CORPORATE SEAL]              KNOLOGY OF CHARLESTON, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              KNOLOGY OF SOUTH CAROLINA, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              KNOLOGY OF ALABAMA, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              KNOLOGY OF FLORIDA, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              KNOLOGY OF HUNTSVILLE, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------
                           [Signature Pages Continue]
<PAGE>

[CORPORATE SEAL]              KNOLOGY OF BATON ROUGE, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              KNOLOGY OF LOUISIANA, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              KNOLOGY OF TENNESSEE, INC., as
                              Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


[CORPORATE SEAL]              TTE, INC., as Borrower


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------


                              By:
                                  ----------------------------
                              Name:
                                    --------------------------
                              Title:
                                     -------------------------
                           [Signature Pages Continue]
<PAGE>

[CORPORATE SEAL]              KNOLOGY HOLDINGS, INC., as
                              Guarantor


                              By: /s/ Chad S. Wachter
                                  ----------------------------------
                              Name:  Chad S. Wachter
                                    ---------------------------------
                              Title: Vice President & General Counsel
                                     --------------------------------

                          [Signature Pages Continue]
<PAGE>

The undersigned hereby executes this Amendment solely to acknowledge and agree
to be bound by the amended provisions of Article IX, but in no way by becoming a
signatory hereto shall the undersigned become obligated for the repayment of the
Loans, Obligations or the payment of any other sum referred to herein or in any
Loan Document or incur any liability as a Borrower or Guarantor hereunder or
under any Loan Document or have any Obligation to pledge any of its assets
pursuant to the Loan Documents.  Notwithstanding the foregoing, the parties
hereto agree that the occurrence of any event with regard to KNOLOGY of Georgia,
Inc. that would constitute a Default or Event of Default if such event occurred
with respect to any other Loan Party shall constitute a Default or Event of
Default, if applicable.


[CORPORATE SEAL]              KNOLOGY OF GEORGIA, INC.


                              By: /s/ Chad S. Wachter
                                  ----------------------------
                              Name:  Chad S. Wachter
                                    --------------------------
                              Title:  Secretary
                                     -------------------------



                           [Signature Pages Continue]
<PAGE>

                              FIRST UNION NATIONAL BANK, as Administrative
                              Agent and Lender


                              By: /s/ C. Mark Hedrick
                                  ----------------------------
                              Name:  C. Mark Hedrick
                                    --------------------------
                              Title:  Vice President
                                     -------------------------