In the four years since the federal No Child Left Behind Act was signed, President Bush and Congress have sent New York City schools about $2 billion less than they promised, Rep. Anthony Weiner charged yesterday.

Mr. Weiner said that while city schools are complying with the regulations in the federal education law, the city Department of Education is not getting the money it is owed to fund the law’s myriad requirements.

“The regulations are in place, the burdens are in place, the financial responsibilities that the city has taken on are in place, but unfortunately more than $2 billion in aid have, in the vernacular of the law, been left behind,” Mr. Weiner told reporters outside Washington Irving High School in Manhattan.

The federal government has repeatedly said education funding has increased substantially since the No Child Left Behind Act became law four years ago and charges like Mr. Weiner’s use fuzzy math.

Mr. Weiner has made an annual event out of releasing reports showing that New York City is getting shortchanged.

In June 2004, his report projected that through 2005, city schools would receive $2.5 billion less in federal aid than the federal government pledged. The congressman said his latest report used the law’s funding formula and determined that New York should have gotten $5.9 billion since 2002, but has instead received $3.9 billion, a difference of $2 billion. The money is earmarked for everything from bilingual education to classroom improvement.

When asked after the news conference yesterday whether the discrepancy between the projected shortfall then and now means New York is doing slightly better with funding today, a spokeswoman for the congressman, Kathryn Prael, said no and explained that this year’s report excluded funding mandates for disabled students because they did not fit into the funding formula under No Child Left Be hind. She also said the gap is getting wider each year.

A press secretary for the U.S. Department of Education, Susan Aspey, said via e-mail yesterday: “President Bush has made historic investments in the nation’s children, including the children of New York, so these claims are perplexing at best.”

A City Council member, Robert Jackson, the new chairman of the Council’s Education Committee, said the city would continue to fight for what it is owed.

“We’ve been shortchanged at the city, we’ve been shortchanged at the state, and now we’re being shafted at the federal level,” Mr. Jackson said.

The No Child Left Behind Act is a sweeping federal law that sets standards that schools nationwide must meet and expands parental choice. It was passed with bipartisan support in 2002, but many Democrats have since criticized it as an underfunded mandate.

A seventh grader who goes to school in Ozone Park, Queens, Madeline Quintana, told reporters yesterday that her school library was missing books by “some of the great masters” of writing. Her father, David Quintana, said, “It’s about time that the children of New York got what they’re due.”