Mayor Bloomberg called on federal lawmakers yesterday to allocate $150 million a year to help New York City cope with health problems that have arisen since the terrorist attacks of September 11, 2001.

Mr. Bloomberg made the request as he released an 83-page report estimating that the attacks have cost the city health care system about $393 million a year — for a total of more than $2 billion.

The money the mayor is seeking would finance medical programs and keep physicians and policymakers abreast of September 11-related health problems such as cancer and pulmonary fibrosis.

Arising from air polluted with dust and smoke at the World Trade Center site, such health problems are being diagnosed in a growing number of workers who helped secure, deconstruct, or rebuild ground zero.

Mr. Bloomberg reiterated his appeal to the federal government to reopen a fund to compensate the stricken workers and relieve the city and contractors of their litigation burden.

Thousands of lawsuits have been filed accusing the city and others of not telling workers that the air at ground zero could be toxic. The mayor warned that if the government does not provide lawsuit relief, companies could be discouraged from sending workers during future catastrophes because they might fear the liability.

“This litigation is ongoing and divisive, and it really is undermining the unity that we are so proud of,” a deputy mayor, Edward Skyler, said.

Mr. Bloomberg said he hoped the Democrats who now control Congress would make sure the city secured the funding.

“I’m very optimistic. They said, ‘Give us the chance, we’re going to do it.’ They got the chance — let’s go,” the mayor said.

The White House’s most recent budget includes $25 million for medical care for emergency workers, but a mayoral spokesman said that money will run out by the end of the year and noted that Congress has not yet approved the budget.

“The city is going to try to make sure that everybody gets care, but we can’t bankrupt our hospitals, and you don’t want your taxes to go up, and no one wants to cut back anything else. So we’re always in this conundrum,” Mr. Bloomberg said. “This is the responsibility of the federal government and we’re going to make that case, and we’re going to win that.”