"Everybody agrees on one thing, that we need to fix the out of control spending," Forbes told The Hill Thursday. "This gives us an opportunity to do something rare and make legislators have skin in the game."

"It's one thing to say that we are going to pay [members of Congress] when they've done the job that we pay them to do," he told the Richmond Times-Dispatch. "But when they are not averting the major problem that's facing the country — our out-of-control spending — I just don't think they deserve the same compensation as if they succeed."

The Congressional Accountability Pay (CAP) Act, H.R. 284, was introduced Tuesday, and referred to the House Oversight and Government Reform Committee, and the Committee on House Administration.

The bill is one of a handful that members have put forward to freeze or cut congressional pay. Rep. Vern Buchanan (R-Fla.) has a bill that would prevent a pay hike for members of Congress after a year in which the government ran a budget deficit.

Rep. Mike Fitzpatrick (R-Pa.) has proposed no pay increase for members of Congress for the next two years, Reps. Jim MathesonJames (Jim) David MathesonTrump's budget targets affordable, reliable power Work begins on T infrastructure plan New president, new Congress, new opportunity MORE (D-Utah) and Bob Latta (R-Ohio) have proposed ending automatic increases, and Rep. Phil GingreyJohn (Phil) Phillip Gingrey2017's top health care stories, from ObamaCare to opioids Beating the drum on healthcare Former GOP chairman joins K Street MORE (R-Ga.) has proposed the Member Pay Freeze Act.

Rep. Kevin YoderKevin Wayne YoderGOP House super PAC reserves million in fall TV ads Progressive group targets GOP moderates on immigration GOP cautious, Dems strident in reaction to new indictments MORE (R-Kan.) has a bill that would go beyond freezing member pay, and would cut it by 5 percent. 

— This story was updated at 12:56 p.m.