Exhibit 99.1 Press release of the Registrant dated November 20, 1998.

Qwest Announces $300 Million Senior Notes Offering

DENVER--(BUSINESS WIRE)--Nov. 20, 1998--Qwest Communications International Inc.
(Nasdaq:  QWST - news) today  announced  that it has agreed to sell $300 million
aggregate principal amount of 7.25 percent ten year Senior Notes due November 1,
2008. Gross proceeds from the sale of the notes will total approximately  $297.8
million. The offering is expected to close on November 27, 1998.

Proceeds  of the notes  sale  will be used to fund the  continued  expansion  of
Qwest's   domestic   network,   the  continued   development  of  the  company's
comprehensive   data  initiatives,   market  share  initiatives  in  traditional
telecommunications segments, and for general corporate purposes.

"Qwest continues to make significant gains in all aspects of the  communications
market place and we have decided to secure  additional  capital,  allowing us to
invest in significant  growth  opportunities,"  said Robert Woodruff,  executive
vice president and chief financial officer, Qwest Communications.

The notes to be sold have not been  registered  under the Securities Act of 1933
and may not be offered or sold in the U.S. absent  registration or an applicable
exemption from registration requirements.

About Qwest 

Qwest  Communications  International Inc. (NASDAQ:  QWST - news) is a multimedia
communications  company  and one of the  fastest  growing  companies  in America
today.   Headquartered  in  Denver,  Colorado,  Qwest  has  approximately  6,000
employees and over 80 sales offices  worldwide.  With its  world-class  data and
multimedia network,  marketing expertise, and customer care and billing systems,
Qwest is delivering high-quality data, video and voice connectivity securely and
reliably to  customers  around the world.  Further  information  is available at
www.qwest.net

Information Regarding Forward-looking Statements 

This press release contains or refers to  forward-looking  statements within the
meaning of Section 27A of the  Securities  Act of 1933, as amended,  and Section
21E of the  Securities  Exchange Act of 1934, as amended,  that  include,  among
others,  (1) statements by Qwest concerning the benefits expected to result from
certain business  activities and transactions,  including,  without  limitation,
synergies  in the form of  increased  revenues,  decreased  expenses and avoided
expenses and expenditures  that are expected to be realized by the Company after
the closing of such transactions,  (2) the Company's plans to complete the Qwest
Network,  an approximately  18,450 route-mile,  coast-to-coast,  technologically
advanced fiber optic  communications  network,  and (3) other  statements by the
Company of  expectations,  beliefs,  future  plans and  strategies,  anticipated
developments  and other  matters  that are not  historical  facts.  The  Company
cautions the reader that these  forward-looking  statements are subject to risks
and  uncertainties,  including  financial,  regulatory  environment,  and  trend
projections, that could cause actual events or results to differ materially from
those  expressed  or implied  by the  statements.  Such risks and  uncertainties
include  those risks,  uncertainties  and risk factors  identified,  among other
places, in documents filed with the Securities and Exchange Commission. The most
important factors that could prevent the Company from achieving its stated goals
include,  but are not limited to: (a)  failure by the Company to  construct  the
Qwest  Network on schedule and on budget,  (b)  operating  and  financial  risks
related  to  managing  rapid  growth,   integrating   acquired   businesses  and
maintaining  sufficient  cash flow to meet its debt service  requirements,  make
capital  expenditures  and  fund  operations,  (c)  intense  competition  in the
Company's  Communications  Services market, (d) the Company's ability to achieve
year 2000  compliance,  (e) rapid and  significant  changes  in  technology  and
markets,  and (f) adverse  changes in the regulatory or legislative  environment
affecting  the Company.  These  cautionary  statements  should be  considered in
connection with any subsequent written or oral  forward-looking  statements that
may be issued by the  Company  or  persons  acting on its  behalf.  The  Company
undertakes  no  obligation  to  review  or  confirm  analysts'  expectations  or
estimates or to release publicly any revisions to any forward-looking statements
to reflect  events or  circumstances  after the date  hereof or to  reflect  the
occurrence of unanticipated events.

The Qwest logo is a registered trademark of Qwest  Communications  International
Inc. in the U.S. and certain other countries.

Contact: 

     Media Contact:              Investor Contact:
     Qwest Communications        Qwest Communications
     Christy Weiner              Lee Wolfe
     (303) 992-2085              (877) 877-QWST
     christine.weiner@qwest.net  IR@qwest.net