Exhibit 99.1

                                  PRESS RELEASE

GLOBIX TO HOLD SECOND QUARTER INVESTOR  CONFERENCE CALL ON THURSDAY,  MAY 6TH AT
2:00PM ET

New York, NY - April 28, 2004: Globix Corporation (GBXX), a provider of managed
media, application and infrastructure services, announced today that the company
will hold a conference call for investors on Thursday, May 6th at 2:00PM ET to
discuss the company's second quarter 2004 financial results. Following the
presentations, the call will be opened for a brief Q&A session with investors.

The Globix investor conference call can be accessed through 1(800) 665-0669. A
live webcast of the call can be accessed through www.globix.com. In addition, a
replay of the call will be available through the Globix website for one week
after the call. Transcripts of the call will also be made available upon
request.

About Globix
Globix (OTC BB: GBXX.OB) is a provider of managed Internet applications and
infrastructure services for enterprises. Globix delivers and supports web-based
applications and services via its secure Data Centers, high-performance global
Tier 1 IP backbone, and content delivery network. Through its managed services
group, Globix provides remote management of custom and off-the-shelf web-based
applications on any server, anywhere, at any time. By managing such complex
e-commerce, database, content management and customer relationship management
software for its clients, Globix helps them to protect Internet revenue streams,
reduce technology operating costs and operating risk, and improve user
satisfaction. Globix's clients are companies that use the Internet as a way to
provide business benefits and sustain a competitive advantage in their markets.
Our clients include operating divisions of Fortune 100 companies as well as
mid-sized enterprises in a number of vertical markets including health care,
media and publishing, technology and financial services. Globix and its
subsidiaries have operations in New York, London, Santa Clara and Atlanta. Learn
more about Globix at www.globix.com

Risk Factors and Forward-Looking Statements:
This press release contains forward-looking statements within the meaning of
Section 21E of the Securities Exchange Act of 1934. These statements are based
on current information and expectations and are subject to risks and
uncertainties that could cause the company's actual results to differ materially
from those expressed or implied in the forward-looking statements. These risks
and uncertainties include: the company's ability to retain existing customers
and attract new customers; its ability to match its operating cost structure
with revenue to achieve positive cash flow; the sufficiency of existing cash and
cash flow to complete the company's business plan and fund its working capital
requirements; risks associated with making acquisitions; restrictions on our
financial and operating flexibility due to the terms of our existing
indebtedness and our high degree of leverage; the insolvency of vendors and
other parties critical to the company's business; the company's existing debt
obligations and history of operating losses; its ability to integrate, operate
and upgrade or downgrade its network; the company's ability to recruit and
retain qualified personnel needed to staff its operations; potential market or
technological changes that could render the company's products or services
obsolete; changes in the regulatory environment; and other changes that are
discussed in the company's Annual Report on Form 10-K and other documents that
the company files with the Securities and Exchange Commission.

Contact:  Chris Capra, Lotus Public Relations,  chris.capra@lotus-pr.com,  (212)
922-5885