WASHINGTON — New York City could get funding for nearly 3,000 more police officers under legislation passed yesterday in the House of Representatives.

Lawmakers voted to reauthorize the C.O.P.S. program, an initiative that began during the Clinton administration but has languished, Democrats say, due to a lack of funding by the Bush White House.

The lead sponsor of the legislation, Rep. Anthony Weiner, who represents parts of Brooklyn and Queens, said yesterday that if it passes the Senate, the anti-crime measure could send nearly $200 million more in aid to the city.

The bill provides for an additional 50,000 police officers nationwide, and it allows the city more flexibility to hire anti-terrorism officers.

“We are breathing life into a program that was all but eliminated in the last several years,” Mr. Weiner said yesterday as he stood near the Capitol surrounded by law enforcement officials that have pushed for the bill’s passage.

C.O.P.S. had been funded at more than $1 billion a year under President Clinton, his office said, but the Bush administration had nearly zeroed it out.

He said he was more confident that the bill could make it through the Senate with Democrats now in the majority.