David Letterman apologized to Sarah Palin and her two daughters, Willow and Bristol, again, last night on The Late Show (video above).  Last week Dave made a joke about Palin’s 14-year old girl having sex with Alex Rodriguez during the game (statutory rape). Letterman has claimed throughout the controversy that he thought the daughter in attendance with Governor Palin was the 18-year old daughter and not the 14-year old Willow.

Dave seemed to truly understand the outrage over his coarse joke and seemed to be somewhat sincere in his apology to the Palin family on Monday night.

Text of David Letterman’s apology to his audience, Sarah Palin, and her daughters:

“All right, here – I’ve been thinking about this situation with Governor Palin and her family now for about a week – it was a week ago tonight, and maybe you know about it, maybe you don’t know about it. But there was a joke that I told, and I thought I was telling it about the older daughter being at Yankee Stadium. And it was kind of a coarse joke. There’s no getting around it, but I never thought it was anybody other than the older daughter, and before the show, I checked to make sure in fact that she is of legal age, 18. Yeah. But the joke really, in and of itself, can’t be defended. The next day, people are outraged. They’re angry at me because they said, ‘How could you make a lousy joke like that about the 14-year-old girl who was at the ball game?’ And I had, honestly, no idea that the 14-year-old girl, I had no idea that anybody was at the ball game except the Governor and I was told at the time she was there with Rudy Giuliani…And I really should have made the joke about Rudy…” (audience applauds) “But I didn’t, and now people are getting angry and they’re saying, ‘Well, how can you say something like that about a 14-year-old girl, and does that make you feel good to make those horrible jokes about a kid who’s completely innocent, minding her own business,’ and, turns out, she was at the ball game. I had no idea she was there. So she’s now at the ball game and people think that I made the joke about her. And, but still, I’m wondering, ‘Well, what can I do to help people understand that I would never make a joke like this?’ I’ve never made jokes like this as long as we’ve been on the air, 30 long years, and you can’t really be doing jokes like that. And I understand, of course, why people are upset. I would be upset myself.

“And then I was watching the Jim Lehrer ‘Newshour’ – this commentator, the columnist Mark Shields, was talking about how I had made this indefensible joke about the 14-year-old girl, and I thought, ‘Oh, boy, now I’m beginning to understand what the problem is here. It’s the perception rather than the intent.’ It doesn’t make any difference what my intent was, it’s the perception. And, as they say about jokes, if you have to explain the joke, it’s not a very good joke. And I’m certainly – ” (audience applause) “- thank you. Well, my responsibility – I take full blame for that. I told a bad joke. I told a joke that was beyond flawed, and my intent is completely meaningless compared to the perception. And since it was a joke I told, I feel that I need to do the right thing here and apologize for having told that joke. It’s not your fault that it was misunderstood, it’s my fault. That it was misunderstood.” (audience applauds) “Thank you. So I would like to apologize, especially to the two daughters involved, Bristol and Willow, and also to the Governor and her family and everybody else who was outraged by the joke. I’m sorry about it and I’ll try to do better in the future. Thank you very much.” (audience applause)

Yesterday, we told you about a group that had set up the website FireDavidLetterman.com to stage a protest outside of the Ed Sullivan theater today to call for Letterman’s head.  Will that group show up at 4:30pm ET today as they had planned, and if so how many will be in attendance?

The first apology by Dave was extremely flawed. His apology on Monday night came across as sincere and should in all fairness to all parties bring a close to this ugly controversy.

WATCH DAVID LETTERMAN’S SEXIST PALIN JOKES

Sarah Palin Discussing David Letterman on the Today Show with Matt Lauer