Ryan suggested Obama was being disingenuous about refusing to discuss policy issues as part of the process of getting the debt limit increased and getting passage of a stopgap spending bill to allow the government to resume normal operations.
He said that "many presidents have negotiated on the debt ceiling—including him."
In the House, Republicans were continuing their tactic of pushing through narrowly targeted bills—over Democratic objections—that would restart popular parts of the government.
On Wednesday, they planned votes on a measure financing death benefits to families of fallen U.S. troops. Blaming the shutdown, the Pentagon has halted the $100,000 payments, usually made within three days of a death, a stoppage Boehner called "disgraceful."
On Tuesday, the House approved a GOP bill providing money for Head Start preschool programs for low-income children.
It also voted to promptly pay federal employees who have been working without paychecks during the shutdown and to establish a bipartisan congressional committee to negotiate ways to reduce the budget deficit. The White House threatened vetoes of both, saying the House should instead reopen the entire government and extend the debt limit.
Earlier Tuesday, House Republicans met privately but produced no new approaches to their shutdown and debt limit impasses.
Participants said Boehner described a weekend visit to a Washington grocery store at which, he said, two-thirds of the people who recognized him smiled and treated him well. That, they said, was a half-joking indication of public approval of the GOP stance -- despite recent polling showing more people are faulting Republicans than Obama and Democrats in the fight.
Boehner also told his GOP colleagues that Senate Majority Leader Harry Reid, D-Nev., is trying to "annihilate" them. Reid has repeatedly demanded that Republicans drop their insistence on negotiations and quickly vote to end the shutdown and extend the borrowing limit.
The private GOP meeting was described on condition of anonymity by attendees.
—By The Associated Press with CNBC.com.