John Boehner: No Debt Ceiling Hike Without Spending Cuts

House Speaker John Boehner (R-Ohio) said Tuesday that the House would not vote to raise the debt ceiling without spending cuts, setting up a potential fight with President Barack Obama and congressional Democrats .

"We're not going to raise the debt ceiling without real cuts in spending. It's as simple as that," he said at a press conference.

"I believe the so-called Boehner Rule is the right formula for getting that done," he said, referring to the notion that any increase in the statutory debt limit should be accompanied by an equivalent amount of spending cuts.

The White House has insisted that President Barack Obama will not negotiate over the debt limit, which until 2011 both parties in Congress had raised without linking it to spending cuts. In 2011, House Republicans used the threat of the looming debt limit to negotiate the package of spending cuts known as sequestration. In January, the House voted to suspend the debt limit until May without concessions.

Treasury Secretary Jack Lew said that the United States government has enough room to borrow through Labor Day .

UPDATE: 4:00 p.m. -- Senate Majority Leader Harry Reid (D-Nev.) rejected the idea on Tuesday. "We are not negotiating on the debt ceiling," he said. "I don't know how many more times we need to say that."