As many as 2,000 protesters calling for the end of funding for the Iraq war marched yesterday and converged on a park near the United Nations headquarters.

Union members, representatives of the Reverend Jesse Jackson’s Rainbow-PUSH Coalition, war veterans, and ordinary citizens joined the demonstration, one of several being staged during the weekend across the country, marking the fourth anniversary of the of the Iraq War.

A few hundred protesters grew in number as the procession moved from midtown Manhattan, across to the East Side, where it ended in a rally at Dag Hammarskjold Plaza, across from the U.N.complex. The marchers stretched for several blocks.

Police offered no crowd estimate, but it appeared to be well over 1,000 people and possibly up to 2,000.

Actor Tim Robbins, among the speakers at an earlier rally, organized by the New York chapter of United for Peace and Justice, told demonstrators that for Congress to cut off funds for the war “would be a good way” to get the troops home.

“The American people want this war to end,” Mr. Robbins said. “That’s the message they sent last November in the election. When are we going to start listening to them?”

Mr. Robbins, a frequent participant at anti-war protests with his actress partner, Susan Sarandon, also said the recent revelations of substandard care and facilities at the Walter Reed military hospital in Washington, D.C., were “just the tip of the iceberg.”

“You want to support the troops? First get them home, then take care of them,” he said.

Police lined sidewalks, and some walked ahead of the group as it moved east on 42nd Street from the New York Public Library to the plaza on First Avenue and past the Third Avenue offices of Senators Schumer and Clinton.

No counter-demonstrators were visibly present, as they had been at a larger anti-war rally in Washington on Saturday.

President Bush was at Camp David in Maryland for the weekend. Spokesman Blair Jones said of the protests: “Our Constitution guarantees the right to peacefully express one’s views. The men and women in our military are fighting to bring the people of Iraq the same rights and freedoms.”

Demonstrators carried signs reading “Impeach Bush” and “Not one more dollar, not one more death.” State lawmaker Bill Perkins, a Democrat, held one saying, “We will not be silent.”

Of the anniversary of the war’s beginning in March 2003, Mr. Perkins said, “We knew then and we know even more now that the war was unjustified.”

This week, the House plans to vote on a war spending bill that includes a troop withdrawal deadline of September 1, 2008. That timeline would speed up if the Iraqi government cannot meet its own benchmarks for providing security, allocating oil revenues, and taking other essential steps.

Michelle Barish, who participated in the protest, said she had sent a gas mask to her brother, a soldier soon to be deployed to Iraq, but was concerned that cutting funds was not the right way to bring the war to an end.

“If they cut off funding, does that mean I’m going to have to send a bulletproof vest and care packages?” she asked.

Trish Gorman, who rode a bus with 55 other people from Bennington, Vt., to take part in the protest, said: “The people have to speak. The government is not listening to the people. Sitting quietly at home is not doing it.”

She said she supported a “safe and well-thought-out defunding and withdrawal” from Iraq.