Speaker of the House John Boehner, R-Ohio, leaves the chamber Thursday evening Dec. 12, 2013, as the House holds final votes before leaving for the holiday recess, at the Capitol in Washington. Battle-fatigued and suddenly bipartisan, the House voted Thursday night to ease across-the-board federal spending cuts and head off future government shutdowns, acting after Speaker John Boehner unleashed a stinging attack on tea party-aligned conservative groups campaigning for the measure's defeat. (AP Photo/J. Scott Applewhite)

ForAmerica, a conservative nonprofit group, told CNN Tuesday that it will push to get rid of the Republican party's current leadership team in Congress with a petition and digital advertisements.

"Time and again, year after year, the Republican leadership in the House and Senate has come to grassroots conservatives, and Tea Party supporters pleading for our money, our volunteers, our time, our energy and our votes," ForAmerica Chairman Brent Bozell said in a statement to CNN. "In return they have repeatedly promised not just to stop the liberal assault on our freedoms and our national treasury, but to advance our conservative agenda. It's been years. There is not a single conservative accomplishment this so-called 'leadership' can point to."

The group told CNN that they will run digital ads targeting House Speaker John Boehner (R-Ohio), Majority Leader Eric Cantor (R-Va.) and Majority Whip Kevin McCarthy (R-Calif.), as well as Senate Minority Leader Mitch McConnell (R-Ky.) and Minority Whip John Cornyn (R-Texas).

Concurrent to the ads is a petition push on the group's Facebook page and website.

ForAmerica rallied against the Affordable Care Act last September along with Sens. Mike Lee (R-Utah), Ted Cruz (R-Texas) and Rand Paul (R-Ky.).

The Wall Street Journal reported in December that the House's Republican leadership aims to discipline the party's more conservative members and achieve consensus on legislation ahead of this year's elections.