Top GOP lawmakers emphasized the unprecedented nature of the unauthorized disclosure of the high court's draft ruling on an abortion case instead of the possible impact on women or on the midterms.
The resolution to terminate the president's national emergency declaration sets up the likely first veto confrontation between Congress and the White House since President Trump took office.
Now that the Senate has passed its own version of a tax bill, lawmakers have to iron out differences with the House bill. The final product could then be sent to the president to be signed into law.
Republican leaders are working to update their long-promised tax overhaul legislation to satisfy enough senators to allow a vote on the legislation as early as this week.
The White House budget director said the Senate GOP bill cuts individual rates for just eight years to "game the system" and hopes those cuts become permanent. It happened before, sparking a crisis.
Republican leaders expressed confidence that the measure could pass the Senate. It is likely to face even fewer hurdles in the House, as the GOP aims to pass a tax bill by Christmas.
The White House says the $4 trillion resolution, which passed by a narrow 51-49 vote, "creates a pathway" for promised tax reform and tax cuts.
The president was blindsided by the latest collapse of a Republican health care bill, which happened just after a White House dinner he held with seven lawmakers.