In the party's weekly radio and Internet address, Boehner said there was bipartisan support for the Middle Class Tax Relief & Job Creation Act, which would extend payroll tax cuts for workers due to expire at the end of the month.
However, Republicans have linked that with approval of the controversial Keystone XL pipeline project that would bring oil in from Canada. Obama and many Democrats are opposed to the pipeline, based largely on environmental concerns.
Boehner said the project would be a boon to employment.
"You've heard President Obama say the American people 'can't wait' to take action on jobs," he said. "Well, the Keystone project is the very definition of an idea the American people can't wait for Washington to take action on.
"This is no time for the same-old 'my-way-or-the-highway' theatrics."
Obama has warned he would veto the bill, despite the payroll tax cut extension, if Republicans insisted on linking it to the pipeline project.
The president made no mention of the Keystone issue in his weekly address.