Anticipating Senate approval of the deal, Speaker John A. Boehner late Monday said the House would “honor its commitment to consider the Senate agreement if it is passed. Decisions about whether the House will seek to accept or promptly amend the measure will not be made until House members — and the American people — have been able to review the legislation.”

The nature of the deal ensured that the running war between the White House and Congressional Republicans on spending and taxes would continue at least until the spring. Treasury Secretary Timothy F. Geithner formally notified Congress that the government reached its statutory borrowing limit on New Year’s Eve. Through some creative accounting tricks, the Treasury Department can put off action for perhaps two months, but Congress must act to keep the government from defaulting just when the “pause” on pending cuts is up. Then in late March, a law financing the government expires.

And the new deal does nothing to address the big issues that Mr. Obama and Mr. Boehner hoped to deal with in their failed “grand bargain” talks two weeks ago: booming entitlement spending and a tax code so complex that few defend it anymore.

Though the tentative deal had a chance of success if put to a vote, it landed with a thud on Capitol Hill. Republicans accused the White House of “moving the goal posts” by demanding still more tax increases to help shut off across-the-board spending cuts beyond the two-month pause. Democrats were incredulous that the president had ultimately agreed to around $600 billion in new tax revenue over 10 years when even Mr. Boehner had promised $800 billion. But the White House said it had also won concessions on unemployment insurance and the inheritance tax among other wins.