In the interview, Trump and Hannity discussed a recent New York Times article that documented Trump's personal and professional dealings with women over many years, including comments about their physical appearance. Trump has strongly criticized the article. On Wednesday, he called it a "con job."
Hannity then posed a question: Would the Times interview Juanita Broaddrick, Paula Jones and Kathleen Willey? The three women have accused Clinton of unwanted sexual advances.
"In one case, it's about exposure. In another case, it's about groping and fondling and touching against a woman's will," said Hannity.
Then Trump said: "And rape." He later added: "And big settlements, massive settlements" and "lots of other things."
Broaddrick accused Bill Clinton of raping her in 1978, when she worked on his Arkansas gubernatorial campaign. Willey said the former president tried to kiss and grope her in a private hallway in the White House. Jones sued Clinton for sexual harassment.
Clinton settled a lawsuit Jones brought forward, but admitted no wrongdoing. He has denied the allegations Willey and Broaddrick made about him.
"Trump is doing what he does best, attacking when he feels wounded and dragging the American people through the mud for his own gain," said Clinton spokesman Nick Merrill in a statement. "If that’s the kind of campaign he wants to run that’s his choice. Hillary Clinton is running a campaign to be President for all of America."
In the interview, Trump also raised Bill Clinton's impeachment by the House of Representatives following the revelation of his extramarital relationship with White House intern Monica Lewinsky. The legislative body charged him with lying under oath and obstructing justice.
Last December, Trump attracted widespread attention when he tweeted: "If Hillary thinks she can unleash her husband, with his terrible record of women abuse, while playing the women's card on me, she's wrong!"
Karen Tumulty and Frances Stead Sellers contributed