One of Vitter’s proposals would limit House members to three and Senate members to just two consecutive terms. He said the legislation is being co-sponsored by Sens. Pat Toomey (R-Pa.), Kelly AyotteKelly AyotteBattle brews over Trump’s foreign policy Battle for the Senate: Top of ticket dominates NH voters hold Ayotte accountable for gun control votes MORE (R-N.H.), Tom CoburnTom CoburnWill Trump back women’s museum? Don't roll back ban on earmarks Ryan calls out GOP in anti-poverty fight MORE (R-Okla.), Ted CruzTed CruzTrump could be the most significant president of our time Cruz: I'd rather have Trump talk to Taiwan than Cuba or Iran Lewandowski: Top Cruz aide advised Trump team before NH primary MORE (R-Texas), Ron JohnsonRon JohnsonThe Hill's 12:30 Report Passing US-Canada preclearance would improve security and economy Overnight Finance: Trump expected to pick Steven Mnuchin for Treasury | Budget chair up for grabs | Trump team gets deal on Carrier jobs MORE (R-Wis.), Mike LeeMike LeeWill Trump back women’s museum? Overnight Cybersecurity: Lawmakers pushing for vote to delay warrant rule changes Coons to call for voice vote to halt changes to hacking rule MORE (R-Utah), Rand PaulRand PaulGOP rep: Trump has 'extra-constitutional' view of presidency The ignored question: What does the future Republican Party look like? Rand Paul skeptical about Romney as secretary of State MORE (R-Ky.) and Marco RubioMarco RubioThe ignored question: What does the future Republican Party look like? Graham to roll out extension of Obama immigration program Trump and Cuba: A murky future MORE (R-Fla.).

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Vitter said the bill was part of a package of “good government” bills he reintroduced on the first day senators were allowed to introduce bills in the 113th Congress, which was Tuesday.

He said he’s also introduced a bill that would end automatic pay increases for Congress. Sen. Claire McCaskillClaire McCaskillA Cabinet position for Petraeus; disciplinary actions for Broadwell after affair Defense bill tackles retaliation against military sex assault victims Red-state Dems face tough votes on Trump picks MORE (D-Mo.) is a co-sponsor of that measure.

“There is real bipartisan disappointment in Congress and its dysfunction, and it should certainly not get rewarded with automatic pay raises without public debate.” Vitter said in a statement Wednesday. “We can start working together in a bipartisan fashion by flatly requiring any member of Congress who wants an automatic raise each year to publicly ask for, defend it, and explain it to their constituents by putting it to a vote.”

Another Vitter bill would prohibit political campaigns and leadership political action committees from hiring the spouses or immediate family of lawmakers, saying lawmakers sometimes use that as a way to “pad their family income.”

“These would be important nonpartisan, non-ideological reform efforts to do something positive and productive to reconnect with the American people,” Vitter said, urging his colleagues to join as co-sponsors to his bills.