A top Republican lawmaker accused the White House of playing presidential politics in the tax cut debate.

Rep. Kevin Brady (R-Texas), the top Republican member of the Joint Economic Committee, accused the Obama administration of delaying the inevitable when it came to the debate over expiring Bush-era tax cuts.

"The truth is, every member of Congress knows how they would vote today," Brady said on the Fox Business Network. "I think they're trying to set up some politics, maybe for the presidential election two years down the road, or to try a last, final gasp of a liberal, Democrat Congress."

Brady's jab comes on the heels of what was an otherwise cordial meeting between President Obama and congressional Democrats and Republicans from both chambers on Tuesday morning.

The meeting resulted in an agreement to appoint high-level negotiators from both parties to meet with Treasury Secretary Tim Geithner and Office of Management and Budget (OMB) Director Jack Lew to hash out the fate of the tax cuts, which are set to expire at the end of the year.

Both Obama and top Republicans expressed optimism that they could reach an agreement in the end, though GOP leaders are insistent that all the expiring cuts be extended across all income brackets for at least a few years, if not longer.

Obama even addressed the specter of the 2012 elections on his administration's ability to work with congressional Republicans in the coming months.

"As I told the leaders at the beginning of the meeting, the next election is two years away and there will be plenty of time for campaigning," he said following the meeting. "But right now, we're facing some very serious challenges. We share an obligation to meet them, and that will require choosing the best of our ideas over the worst of our politics."

But Brady suggested he was dissatisfied by the negotiations, and accused the administration of playing "games."

"What we're lacking is, one, leadership from the White House, and two, a simple up or down vote," he said. "Right now they just seem intent on playing games, and I don't think the damage that they are ready to inflict."