House Majority Leader Eric Cantor Thursday said he was pulling out of the bipartisan budget talks headed by Vice President Joe Biden for now because the group has reached an impasse over taxes that only President Barack Obama and Speaker John Boehner (R., Ohio) could resolve.

Mr. Cantor, in an interview after a negotiating session he described as bitterly contentious, said he would not be attending today’s scheduled meeting of the bipartisan deficit-reduction leadership group because he believed it was time for the negotiations to move to a higher level.

“We’ve reached the point where the dynamic needs to change,” Mr. Cantor said. “It is up to the president to come in and talk to the speaker. We’ve reached the end of this phase. Now is the time for these talks to go into abeyance.”

Still, Mr. Cantor remained optimistic about the prospects for a deal.