Hatch, R-Utah, says he will give his congressional pay until the government is running to his faith, The Church of Jesus Christ of Latter-day Saints.
"With the federal government shut down and many Utahns feeling the effects of it, Senator Hatch feels it's only right to donate his paycheck to the LDS Church," his spokesman Matt Harakal said.
The Washington Post listed dozens of members of Congress who have agreed to donate their pay as well. Rank-and-file House members and senators are paid $174,000 and the Constitution's 27th Amendment forbids changing their pay during a congressional term.
Rep. Jason Chaffetz, R-Utah, says he plans to ask the House clerk to delay paying him until the shutdown ends.
Lee, who led the effort to attempt to stop Obamacare by tying it to the budget bill, told KUTV Tuesday night that he would take his salary because he is working and had no plan to stop taking it like a growing number of colleagues.
A spokesman on Wednesday told BuzzFeed that "Lee will donate to charity for every day of the shutdown." The spokesman told the website that the KUTV story was "wrong," and that the senator had always intended to donate, although his response may have been somewhat muddy.
KUTV on Wednesday stood by its original report and posted audio of its interview with Lee.
A Lee office statement on the BuzzFeed website indicated that the charitable contributions would be made after the shutdown is concluded.
Congress remains in session, though neither Republicans or Democrats appear to be budging from their positions, leaving no end in sight of the shutdown.