After meeting with his conference Wednesday, Boehner told reporters that the rich will be paying more, but he still hoped to limit any increase to ending tax deductions and loopholes rather than Obama's demand for higher rates.
Obama, however, continued to insist that Republicans must agree to higher tax rates for the wealthiest Americans before working out a broader deficit reduction deal.
The president demands that the House immediately pass a measure already approved by the Senate to extend tax cuts from 2001 and 2003 on income up to $250,000 for families.
He contends that both Democrats and Republicans agree that the 98% of American families making less than $250,000 a year should avoid a tax hike when the lower rates from the Bush administration expire on December 31. They call for the House to guarantee that outcome by passing the Senate measure now.
Once that happens, Obama and Democratic leaders promise, they will work out compromises on other spending cuts sought by Republicans to reduce the deficit, such as reforms to the Medicare and Medicaid entitlement programs.
The broader deficit reduction plan from the president would increase tax revenue by $1.6 trillion over 10 years through the higher rates on the wealthy as well as closing loopholes, limiting deductions, raising the estate tax rate to 2009 levels and increasing tax rates on capital gains and dividends.
Under it, $500 billion would come from limiting itemized tax deductions and other benefits for high-income earners. A 28% limit on deductions would apply to families earning more than $250,000 and individuals making more than $200,000, according to the White House.
The Obama plan also includes $50 billion in stimulus spending for programs intended to create jobs, such as repairing roads and bridges.
In response, House Republicans offered a plan that they said could reduce federal deficits by $2.2 trillion over 10 years.
The GOP proposal includes $800 billion from tax reform, $600 billion from Medicare reforms and other health savings and $600 billion in other spending cuts, House Republican leadership aides said. It also pledges $200 billion in savings by revising the consumer price index, a measure of inflation.
While the Republicans gave ground by calling for more revenue through tax reform, the plan mentioned only unspecified elimination of some deductions and loopholes.