Boehner: I am worried about a double-dip recession

"When you look at what's been happening in Greece ... it ought to send a real signal to the American people that the best thing we can do to help our economy right now is to get our debt under control.

"We could lead the rest of the world in showing them that you can, in fact, deal with this in an open, honest way," he added.

BoehnerJohn Andrew BoehnerFreedom Caucus bruised but unbowed in GOP primary fights GOP revolts multiply against retiring Ryan Can Jim Jordan become top House Republican? MORE's comments come as European drama has roiled financial markets for weeks. Treasury Secretary Timothy Geithner met with European financial heads last week to push for a united effort again the problem, in a sign of how seriously the administration is taking the foreign problem.

Despite his concerns, Boehner maintained that the United State's economic reputation is still unsurpassed.

"We're still the safest bet in the world. We're still the safest place to invest in the world," he said. "But we won't be if we're not willing to tackle our spending problem."

On that point, Boehner accused the president of engaging in "class warfare" in unveiling his deficit reduction proposal, which includes higher taxes for the nation's wealthiest. However, there is room for "some common ground" on the economic front, especially the three pending free trade agreements and infrastructure investments, he added.

He also said American companies are "essentially on strike" thanks to a slew of new regulations ushered in under the Obama administration, coupled with uncertainty about the future of the tax code.