Exhibit 99.1

 Globix Corporation Commences Offer to Purchase $40 million of its Senior Notes

New York - January 26, 2004 - Globix Corporation (OTC: GBXX), a leading provider
of managed Internet applications and infrastructure services, today announced it
has commenced a tender offer for up to $40,274,000 in principal amount of its
11% Senior Notes due 2008 ("Notes"). Under the terms of the offer, Globix will
purchase outstanding Notes for cash at par plus accrued interest. This offer
will be funded with a portion of the net proceeds from the sale of its property
located at 415 Greenwich Street in New York, New York which closed on January
22, 2004.

The offer will expire at 10:00 a.m., New York City time, on February 25, 2004,
unless extended or terminated. Payment for tendered Notes will be made in
same-day funds on the fifth business day following expiration of the offer.

"This is another milestone for the company in achieving its goals," said Bob
Dennerlein, Globix's CFO.

The Depositary for the offer is HSBC Bank USA. Persons with questions regarding
the offer should contact Globix at (212) 334-8500, attention Daniel Moran.

This announcement is neither an offer to purchase nor a solicitation of an offer
to sell with respect to the Notes. The offer is made only by an Offer to
Purchase dated January 26, 2004 and the related Letter of Transmittal.


About Globix:
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Globix (http://www.Globix.com) is a leading provider of managed Internet
infrastructure services for business clients. Globix delivers applications and
services via its secure Data Centers, high-performance global Tier 1 IP
backbone, content delivery network, and its technical professionals. Globix
provides businesses with technology resources and the ability to deploy, manage
and scale mission-critical Internet-based operations for optimum performance and
cost efficiency. Globix has operations in New York, London, Santa Clara and
Atlanta.

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




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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.


Press Contacts:
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Michael van Dijken
212-334-8500
mvandijken@globix.com
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