Saying conditions at Pennsylvania Station in New York have reached a crisis, and that planned track closings would lead to “a summer of agony,” Gov. Andrew M. Cuomo appealed to President Trump on Sunday to recognize the situation as an emergency and provide funding for construction and transportation alternatives for commuters.

In a letter to the president, Mr. Cuomo also called for the federal government to facilitate and help finance a long-term solution to the station’s troubles. Saying that he did not think that Amtrak, which owns the station, should continue to operate it, he suggested that another entity, possibly the Port Authority of New York and New Jersey or a private terminal operator, should take over the construction and management of the station.

And he urged the president to finance a bundle of infrastructure improvements for the region, including a new train tunnel under the Hudson River between New York and New Jersey, the restoration of Penn Station and the creation of a train hall in the James A. Farley Post Office Building. Mr. Cuomo has proposed creating a new hall for Amtrak and the Long Island Rail Road in the post office building, which is across Eighth Avenue from Penn Station.

“While this is not a hurricane or flood, it will affect as many people and businesses with dire consequences,” Mr. Cuomo wrote of conditions at Penn Station.