Senate signals they will also pass the measure.
The HoR did attach a caveat that should be popular with all voters; No Budget, No Pay for both chambers of Congress.
A measure to suspend the nation's legal limit on borrowing for nearly four months cleared a key vote in the House Wednesday, as Republicans broadly endorsed a new tactic that would temporarily remove the threat of a potentially calamitous government default from their ongoing fight with Democrats over government spending.
The measure, which would set aside the legal debt ceiling and allow the government to borrow as needed to meet spending obligations through May 18, was adopted on a 285 to 144 vote.
Just before the vote, Democratic leaders in the Senate said they would accept the House measure without changes and a Senate vote is expected as soon as next week. And the White House, too, has said President Obama will not stand in the way of the bill.
The GOP's measure would impose a new requirement on Congress, key to winning support from a broad range of their own members: Both chambers of Congress must adopt a budget by April 15, as required by law, or have their congressional pay withheld until the start of the new Congress in 2015.
"All we're saying is Congress: follow the law. Do your work. Budget," said Rep. Paul Ryan (R-Wis.), the party's former vice presidential candidate, explaining the measure on the floor.
"We owe our constituents more than that. We owe them solutions. And when both parties put their solutions on the table, then we can have a good ... debate about how we fix the problem," he said.
Republicans have in recent days rallied around the slogan, "No Budget, No Pay," an effort to shift attention to the Senate's failure to adopt a budget in nearly four years. They hope their new pressure campaign could help reverse public opinion about who is to blame for gridlock over spending.