Exhibit 99.1

GLOBIX PROMOTES ROBERT DENNERLEIN TO POSITION OF CHIEF FINANCIAL OFFICER

NEW YORK -- May 13, 2003 -- Globix Corporation (OTC: GBXX) today announced that
it has appointed Robert Dennerlein to serve as Chief Financial Officer,
effective May 12. Dennerlein succeeds John D. McCarthy who has served as acting
Chief Financial Officer during the company's restructuring and now returns to
his role as Senior Vice President of Corporate Development focused at strategic
growth opportunities. Dennerlein joined the company in January 2003 as Vice
President and Corporate Controller.

"The Company is very grateful to John for his leadership, teamwork, and results
that enabled our company to manage itself through a challenging transition
period," said Peter Stevenson, Globix's Chief Executive Officer. "At the same
time, we acknowledge the strong contribution Bob has made to our organization
and we are proud to promote him to the position of Chief Financial Officer."

Prior to joining Globix, from August 2001 until January 2003 Dennerlein served
as Vice President and Controller for OpNext, a global optical components joint
venture created by a spin-off from Hitachi and a venture capital investment by
Clarity Partners. From July 1999 until August 2001, Dennerlein served as the
Director of Accounting and External Reporting for Agere Systems (formerly the
Microelectronics division of Lucent Technologies). From June 1992 until July
1999, Dennerlein held various management positions at International Specialty
Products, a global specialty chemicals manufacturer. He served as Senior
Director, ISP Financial Services from July 1997 until July 1999 and prior to
that Controller, ISP International Operations from May 1995 until July 1997.
Dennerlein is a Certified Public Accountant and received a Masters in
International Business from Seton Hall University. He also holds a Bachelor of
Science in Accounting from Seton Hall University.

ABOUT GLOBIX:

Globix (http://www.globix.com) is a leading provider of managed infrastructure
services for business customers. 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.

PRESS CONTACT:
Michael van Dijken

212-625-7546
917-428-3366

mvandijken@globix.com