EXHIBIT 23.1





                         Consent of Independent Auditors





The Board of Directors
ICG Communications, Inc.:


We consent to  incorporation  by reference in the  registration  statement  Nos.
33-96660 and  333-08729 on Form S-3 of IntelCom  Group Inc. and No.  33-14127 on
Form S-8 of ICG  Communications,  Inc. of our reports  dated  November 18, 1996,
relating to the  consolidated  balance  sheets of ICG  Communications,  Inc. and
subsidiaries  as of September  30, 1995 and 1996,  and the related  consolidated
statements of operations,  stockholders'  equity  (deficit),  and cash flows for
each of the years in the  three-year  period ended  September 30, 1996,  and the
related financial statement schedule,  which reports appear in the September 30,
1996 Annual Report on Form 10-K of ICG Communications, Inc.

As explained in note 2 to the consolidated  financial statements,  during fiscal
1996,  the  Company  changed  its method of  accounting  for  long-term  telecom
services contracts.




                                    KPMG Peat Marwick LLP


Denver, Colorado
December 17, 1996