Bee was lambasting the White House adviser and US first daughter over the immigration policy of her father President Donald Trump.
Conservatives demanded Bee be fired like Roseanne Barr, whose sitcom was cancelled this week after she posted a racist tweet.
Bee acknowledged on Thursday she had "crossed a line" with her language.
What did Bee say?
On her political commentary show Full Frontal, Bee attacked the president's daughter over a long-standing US policy of separating undocumented immigrant children from their families.
Presenting Obama-era photos of such young people sleeping in cages, Bee said: "Tearing children away from their parents is so evil, it's the inciting incident in almost every movie we've ever cared about."
She said Ms Trump had been "oblivious" recently to post an Instagram photo of herself hugging her child.
"You know, Ivanka, that's a beautiful photo of you and your child, but let me just say, one mother to another, do something about your dad's immigration practices," Bee said.
She then called Ms Trump a "feckless [expletive]". The term she used is widely viewed as the most offensive epithet to call a woman.
Bee urged the first daughter to confront her father about the policy.
"He listens to you," she said. "Put on something tight and low-cut and tell your father to [expletive] stop it. Tell him it was an Obama thing and see how it goes, OK?"
The immigration issue has risen to the fore recently since it was reported that US authorities had been unable to contact almost 1,500 unaccompanied children placed in the care of sponsors.
The Trump administration has also been criticised for its policy of separating children from parents who cross the US-Mexico border illegally.
The hashtag #Wherearethechildren has been used hundreds of thousands of times on Twitter.
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