Exhibit 99.1

McDermott Announces Results of Stockholders' Meeting, Upcoming Events

    NEW ORLEANS--(BUSINESS WIRE)--May 4, 2005--McDermott
International, Inc. (NYSE:MDR) ("McDermott" or the "Company")
announced today the results of its annual meeting of stockholders,
held this morning in New Orleans, Louisiana and the dates of its first
quarter 2005 earnings release and conference call.
    The nominees for election as a Class I director of McDermott
International, Inc. were Roger A. Brown, Oliver D. Kingsley, Jr. and
Bruce W. Wilkinson. The nominees for election as a Class III director
were Ronald C. Cambre and Admiral Bruce DeMars. Each of these existing
board members received at minimum approximately a 98 percent
affirmative vote of the votes cast by stockholders. In addition,
PriceWaterhouseCoopers LLP was ratified by stockholders to continue to
be retained as McDermott's independent registered public accounting
firm with approximately 99 percent of the votes cast.
    As previously announced and effective today, Richard E. Woolbert
has retired from McDermott's board of directors after more than eight
years of service as a board member following over 45 years as an
employee of the Company. Bruce W. Wilkinson said, "On behalf of the
board of directors, our shareholders and the management team, I want
to express our gratitude to Dick for his decades of service to the
Company. The guidance, insight and leadership he provided is sincerely
appreciated by all stakeholders of McDermott."
    The Company also announced it plans to release its financial
results for the first quarter of 2005 during the evening of Monday,
May 9, 2005, with a conference call to occur Tuesday, May 10, 2005 at
10:00 a.m. (EDT). The Company invites investors to listen to the call
live or to the replay, both available on McDermott's website,
www.mcdermott.com, in the investor relations section.
    McDermott International, Inc. is a leading worldwide energy
services company. The Company's subsidiaries provide engineering,
fabrication, installation, procurement, research, manufacturing,
environmental systems, project management and facility management
services to a variety of customers in the energy and power industries,
including the U.S. Department of Energy.

    CONTACT: McDermott International, Inc.
             Jay Roueche, 281-870-5011
             jroueche@mcdermott.com
             www.mcdermott.com