NEW YORK -- The rebuilding of the World Trade Center is encountering headwinds as New York's governor called for a major review of the closely watched project on the site of the Sept. 11, 2001, terrorist attacks.

New York Gov. David Paterson said in a statement that it "has become clear that the overall project faces likely delays and cost overruns." He called on the agency that owns the site to create a "comprehensive assessment to determine whether the current schedules and cost estimates for reconstruction are reliable and achievable."

The agency, the Port Authority of New York and New Jersey -- which Mr. Paterson controls with the governor of New Jersey, Jon Corzine -- disclosed Wednesday it is several weeks late excavating a portion of the site that will eventually be home to the second-tallest office building there, known as Tower 2. Separately, other parts of the site, including a transit hall and a memorial, are in danger of being further delayed and over budget, according to Port Authority officials.

Construction crews on the roughly $15 billion project have made steady progress in recent months after several years of relatively little activity. But the project is facing a logjam as the various pieces get under way, including the memorial, the transit hall, a mall and five office towers.

Write to Alex Frangos at alex.frangos@wsj.com

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