Speaking with reporters, Boehner said, "I have made clear for months and months that the idea of default is wrong and we shouldn't get anywhere close to it."
Democrats jumped on Boehner and the plan he produced.
In unusually personal remarks, Reid said the Ohio Republican had "once again tried to preserve his role at the expense of the country."
That was a reference to a rebellious rank and file in the House, who routinely seek to push Boehner and the rest of the leadership to the right. A group met Monday night with Texas Sen. Ted Cruz, who last summer played a public role in a campaign to demand defunding of Obamacare as the price for preventing a partial government shutdown.
The Democratic attacks were too much for some Republicans who have been among those most vocal in calling for a bipartisan solution to the impasse.
"It's piling on and it's not right," Sen. John McCain, R-Ariz., said of the response from the Democrats. "To categorically reject what the House and the speaker are doing — and I think he's pretty courageous in what he's doing — in my view is not serving the American people."
The House had been effectively sidelined in recent days as Reid and McConnell engaged in intense negotiations to reopen the government and raise the debt limit.
The twin crises began more than three weeks ago, when some lawmakers in the House insisted on seeking the defunding of Obamacare as the price for preventing a partial shutdown of the government.
The White House refused, and the Democratic-controlled Senate rejected legislation to achieve the GOP goal, as well as subsequent legislation that contained scaled-back concessions on the health care overhaul.
The partial shutdown, which began on Oct. 1, swiftly merged with the approaching debt crisis.