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                                                                      Exhibit 20

GLOBIX ANNOUNCES PROPOSED $250 MILLION PRIVATE OFFERING OF SENIOR
NOTES

NEW YORK -- January 12, 2000 -- Globix Corporation (Nasdaq: GBIX) today
announced that it intends, subject to market and other conditions, to raise $250
million gross proceeds through a private offering of senior notes. The notes
will be offered within the United States only to qualified institutional buyers
and, outside the United States, only to non-U.S. investors.

Globix stated that it intends to use the net proceeds of the senior note
offering primarily to expand its facilities and network, including adding
SuperPOPs and backbone capacity. The senior notes will have a ten-year term and
interest will be paid semi-annually in cash.

The securities to be offered have not been registered under the Securities Act
of 1933, as amended (the "Securities Act"), or any state securities laws, and
unless so registered, may not be offered or sold in the United States except
pursuant to an exemption from, or in a transaction not subject to, the
registration requirements of the Securities Act and applicable state securities
laws.

This press release does not constitute an offer to sell or the solicitation of
an offer to buy any security and shall not constitute an offer, solicitation or
sale in any jurisdiction in which such offering would be unlawful.

This press release contains forward-looking statements. Actual results could
differ materially from those projected in the forward-looking statements.
Additional information concerning factors that could cause actual results to
differ materially from those in the forward-looking statements is contained
under the heading of Risk Factors listed from time to time in the Company's
filings with the Securities and Exchange Commission.


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