Also Thursday, Sen. Al Franken (D-Minn.) said in a statement that Griffin will now not participate in a July event in Minnesota with him. Earlier in the week, Franken had said he was standing by the comedian.
But he changed his tune by Thursday, saying, "I believe what Kathy Griffin did was inappropriate and not something that should be anywhere in our national discourse. I consider her a friend and I'm glad she realized she crossed the line and apologized. After hearing from many Minnesotans who were rightfully offended, I've come to the conclusion that it would be best for her not to participate in the event we had previously scheduled. I understand why Minnesotans were upset by this, and I take that very seriously."
In response to the photo, the president tweeted on Wednesday, "Kathy Griffin should be ashamed of herself. My children, especially my 11 year old son, Barron, are having a hard time with this. Sick!"
The controversy erupted Tuesday when Griffin, 56, tweeted the photo, taken by celebrity photographer Tyler Shields.
She tweeted the caveat, "OBVIOUSLY, I do not condone ANY violence by my fans or others to anyone, ever! I'm merely mocking the Mocker in Chief," but that did little to satisfy critics of the photo.
Griffin then tweeted a video of herself apologizing for the photo.
"Hey, everybody, it's me, Kathy Griffin," she says in the video. "I sincerely apologize. I am just now seeing the reaction to these images. I'm a comic. I crossed the line. I move the line. Then I cross it. I went way too far. The image is too disturbing. I understand how it offends people. It wasn't funny. I get it. I've made a lot of mistakes in my career. I will continue."
She continues, "I ask your forgiveness. Taking down the image. I am going to ask the photographer to take down the image. And I beg for your forgiveness. I went too far, I made a mistake, and I was wrong."