Thompson goes on to say that "after the Newtown massacre and the NRA's disgusting response, I've had enough."
He warns Congress: "You take money from the NRA, and then continue to do their bidding, we're gonna remember that come election time."
The six-figure ad buy is running for a week on national cable and will air during the Sunday morning political talk shows.
MoveOn is also running a version targeted at Sen. Rob Portman (R-Ohio) in his state. The senator, who holds an "A" rating from the NRA, has indicated an openness to President Obama's proposals on gun control.
"We're calling out Sen. Portman because we can't let elected officials like him pay lip service to gun violence prevention but then turn around and do whatever the NRA says," said MoveOn's campaign director Garlin Gilchrist.
MoveOn joins a handful of liberal groups, including one founded by shooting victim and former Rep. Gabrielle Giffords (D-Ariz.), in launching ads calling for support for expanded gun control measures.