In the Tuesday night speech, Obama laid out his policy agenda for the year. This included calling for authorization of force against the Islamic State group, bolstering cybersecurity standards, highlighting "middle-class economics" initiatives and closing tax loopholes.
Boehner took issue with Obama's economic proposals.
"These just aren't the wrong policies, they're the wrong priorities," Boehner said, adding "the veto threats and Fantasyland proposals from the White House will not distract the people's house from the people's priorities."
There has been some discussion among pundits following the State of the Union that Obama could find common ground with Congress on corporate tax reform, but Boehner was less optimistic.
"We'd love to do tax reforms, but you heard the president last night call for raising taxes again," the Ohio Republican said. "Now if he wants to raise taxes, that's going to make it very difficult for us to come to some agreement on how we're going to reform our broken tax code."
Earlier Wednesday, Boehner invited Israeli Prime Minister Benjamin Netanyahu to address Congress on radical Islam and Iran. This comes only a few hours after Obama threatened to veto any legislation that would mention new sanctions on Iran.
Boehner said he did not consult with the White House on whether to invite Netanyahu, who has differences with Obama.
"I don't believe I am poking anyone in the eye," he said. "There is a serious threat that exists in the world, and the president last night kind of papered over it."
Boehner said he anticipates hearings on Iran sanctions legislation, but the timing is not yet determined.