SANTA ROSA DE COPAN, Honduras — Hundreds of Hondurans traveling in vehicles and on foot converged on the Guatemalan border on Tuesday, part of a new migrant caravan bound for the United States which President Trump has already used as fresh ammunition in his fight for border wall funding.

The caravan began departing from the northern Honduran city of San Pedro Sula on Monday night. Others set off throughout the day on Tuesday. Honduran authorities estimated that between 800 and 1,000 people were in the caravan, while officials from Honduras’ National Human Rights Commission put the range between 1,500 and 2,000.

Mr. Trump, whose dispute with Congress over his demand for $5.7 billion for a border wall between Mexico and the United States has led to a partial shutdown of the federal government since Dec. 22, warned on Twitter on Tuesday about the new mass migration.

“A big new Caravan is heading up to our Southern Border from Honduras,” he wrote. “Only a Wall, or Steel Barrier, will keep our Country safe! Stop playing political games and end the Shutdown!”