Senator Chuck Schumer, the top Democrat, announced he would force another vote next week to bring legislation to the floor despite a Republican blockade.

WASHINGTON — Senate Democrats will try again next week to advance a voting rights measure, Senator Chuck Schumer, the majority leader, announced on Thursday, though Republicans are expected to maintain their filibuster against the legislation backed by all Democrats.

Schumer, Democrat of New York, said he would schedule a vote for next Wednesday to open debate on voting rights legislation that he and fellow Democrats say is needed to offset new restrictions being imposed by Republican-controlled state legislatures around the nation.

His decision intensifies pressure on Senator Joe Manchin III, Democrat of West Virginia, who had initially been his party’s lone holdout on a sweeping voting rights measure passed by the House.

In the 50-50 Senate, it would take 10 Republicans joining every Democrat to muster the 60 votes needed to break a filibuster of any voting rights bill and allow it to be considered.