David Letterman responded to Sarah Palin on his show Wednesday night after the Alaska governor ripped the "Late Show" host for making jokes about her and her family.

Palin accused Letterman of making "disgusting" and "sexually perverted" jokes about one of her daughters, including one about her daughter being impregnated by Yankees third baseman Alex Rodriguez at a baseball game. She had also criticized Letterman for a joke about her looking like a "slutty flight attendant," which she deemed "pretty pathetic."

During his late night talk show, Letterman read the statements issued by Sarah Palin and Todd Palin which expressed their outrage about his seven-minute comedy segment and then went through the offending jokes to both apologize for and defend their content.

"I'm telling you, I recognize that these are ugly. These are actually ugly. These are borderline...but again, in an act of desperation to get cheap laughs, which is what I've been doing for the last 30 years," Letterman said.

Letterman concluded by inviting Palin to his show as a guest.