Leeann Tweeden, a radio host, says the two incidents happened in December 2006 on a tour to entertain US troops overseas, before Al Franken entered politics.
She wrote that the former comic “aggressively” kissed her while saying they had to rehearse a scene.
Al Franken, a former Saturday Night Live writer, apologized for the grope.
However, the Democrat said he has a different recollection of the other incident.
Al Franken: “I certainly don’t remember the rehearsal for the skit in the same way, but I send my sincerest apologies to Leeann,” he said in a statement.
“As to the photo, it was clearly intended to be funny but wasn’t. I shouldn’t have done it.”
He issued a second, longer statement less than two hours later after a ferocious backlash from critics who accused him of a non-apology and demanded his resignation.
In an article for KABC, a Los Angeles radio station where Leeann Tweeden now works, she recalled feeling victimized by Al Franken during her ninth USO tour of the Middle East.
“When I saw the script, Franken had written a moment when his character comes climbing at me for a <<kiss>>,” she said.
“I suspected what he was after, but I figured I could turn my head at the last minute, or put my hand over his mouth, to get more laughs from the crowd.”
On the day of the performance in Kuwait, Leeann Tweeden said he was insistent they rehearse the skit.
When the moment came he “put his hand on the back of my head, mashed his lips against mine and aggressively stuck his tongue in my mouth”.
“You knew exactly what you were doing,” Leeann Tweeden wrote.
“You forcibly kissed me without my consent, grabbed my breasts while I was sleeping and had someone take a photo of you doing it, knowing I would see it later, and be ashamed.”
Later at a press conference in Los Angeles, Leeann Tweeden went into further detail about how “he stuck his tongue in my mouth so fast”.
“And all I can remember is that his lips were really wet and slimy,” she said.
“In my mind I called him <<fish lips>> the rest of the trip.”
Senator Chuck Schumer, the Democratic leader of the Senate, promptly called for the chamber’s Ethics Committee to investigate Al Franken.
The Republican Senate leader Mitch McConnell echoed the call for an ethics investigation.
Al Franken said he would “gladly cooperate”.
In his second statement, he said: “I respect women. I don’t respect men who don’t.
“And the fact that my own actions have given people a good reason to doubt that makes me feel ashamed.”
Of the photo, he added: “I look at it now and I feel disgusted with myself. It isn’t funny. It’s completely inappropriate.
“It’s obvious how Leeann would feel violated by that picture.”
However, he still begged to differ on her portrayal of him forcing his tongue down her mouth.
“While I don’t remember the rehearsal for the skit as Leeann does, I understand why we need to listen to and believe women’s experiences.”
As a senator for Minnesota, Al Franken has cultivated an image for himself as a vocal champion of women’s issues, from assault to abortion rights and equal pay.
Leeann Tweeden said she was inspired to come forward more than a decade later after California congresswoman Jackie Speier was interviewed on her morning radio program.
Jackie Speier told about being assaulted as a young congressional aide in Washington.
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