political appointees to bear the full cost of their own coverage by barring the government from making the customary employer contribution.
"This is a matter of funding the government and providing fairness to the American people," said Boehner. "Why wouldn't members of Congress vote for it?"
The vote was 228-201, with a dozen Republicans opposed and nine Democrats in favor.
Unimpressed, Senate Democrats swatted it on a 54-46 party line vote about an hour later.
Obama followed up his public remarks with phone calls to Boehner and the three other top leaders of Congress, telling Republicans he would continue to oppose attempts to delay or cut federal financing of the health care law.
The impact of a shutdown would be felt unevenly.
Many low-to-moderate-income borrowers and first-time homebuyers seeking government-backed mortgages could face delays, and Obama said veterans' centers would be closed.
About 800,000 federal workers, many already reeling from the effect of automatic budget cuts, would be ordered to report to work Tuesday for about four hours — but only to carry out shutdown-related chores such as changing office voicemail messages and completing time cards.
Some critical services such as patrolling the borders and inspecting meat would continue. Social Security benefits would be sent, and the Medicare and Medicaid health care programs for the elderly and poor would continue to pay doctors and hospitals.
U.S. troops were shielded from any damage to their wallets when Obama signed legislation assuring the military would be paid in the in the event of a shutdown.
That had no impact on those who labor at other agencies.
"I know some other employees, if you don't have money saved, it's going to be difficult," said Thelma Manley, who has spent seven years as a staff assistant with the Internal Revenue Service during a 30-year career in government.
As for herself, she said, "I'm a Christian, I trust in God wholeheartedly and my needs will be met." She added, "I do have savings, so I can go to the reserve, so to speak."