Two women have come forward with stories of Donald Trump groping and kissing them in encounters they had with the Republican presidential nominee years ago, the New York Times reported late Wednesday.

Jessica Leeds, 74, said Trump had grabbed her breasts and tried to put his hand up her skirt during a flight to New York City more than three decades ago.

The New Yorker was a travelling businesswoman at the time and sat beside Trump in the first-class cabin. They had never met before.

"He was like an octopus," Leeds told the newspaper. "His hands were everywhere."

Rachel Crooks, who lives in Ohio, said she was a 22-year-old receptionist at a real estate investment and development company in Trump Tower in 2005 when she encountered Trump outside an elevator.

After she introduced herself with a handshake, she said Trump would not let go of her hand and began kissing her cheeks, then "directly on the mouth."

Crooks said Trump "was so inappropriate." She told the Times in an interview: "I was so upset that he thought I was so insignificant that he could do that."

Neither women reported the incidents to authorities and never before made their stories public, according to the Times.

Trump was emphatic during the presidential debate that he had never actually kissed women or grabbed their genitals without their permission.

"No," he said when questioned, "I have not" and again insisted that "it was locker room talk."

The question was related to a recording that emerged last week of Trump making lewd comments about women and sex in 2005. The recording has roiled his campaign and caused most top Republicans to sever ties to their party's nominee.

In a phone interview on Tuesday night, the Times said Trump denied the women’s claims.

"None of this ever took place," Trump said. He said the Times was making up the allegations to hurt him and said he would sue the newspaper if it reported them.

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