Two more women have come forward to claim that Republican presidential nominee Donald Trump touched them inappropriately without permission. The women allege that Trump lied during the second presidential debate when he emphatically denied ever sexually assaulting a woman.

Jessica Leeds and Rachel Crooks described the incidents to the New York Times less than a week after a video of Trump's lewd comments describing sexual assault in 2005 emerged.

Leeds, a 74-year-old New Yorker, told the Times that watching Trump deny he had ever sexually assaulted women felt like she was being lied to her face. "I wanted to punch the screen," she said. Leeds claims that 30 years ago she was sitting next to Trump in first-class on a flight to New York when he lifted the armrest and began groping her.

Trump allegedly grabbed her breast and attempted to put his hand up her skirt, Leeds said. "He was like an octopus," she said. "His hands were everywhere." Leeds added: "It was an assault."

Crooks, who was a 22-year-old receptionist for real estate investment and development company Bayrock Group, described a similar incident in an elevator in Trump Tower in 2005. The Ohio woman said she introduced herself to Trump because she knew her company did business with Trump.

However, Trump allegedly did not let go after they shook hands and instead began kissing her on the cheeks. She then said he "kissed me directly on the mouth." Crooks told The Times that it did not feel like an accident but a violation.

"It was so inappropriate," she said. "I was so upset that he thought I was so insignificant that he could do that."

Neither of the women's stories had been made public before, but follow allegations from several other women. Florida woman Mindy McGillivray told the Palm Beach Post she too was groped by Trump at his Mar-a-Lago estate 13 years ago. McGillivray was 23 when she said Trump grabbed her inappropriately as they watched Ray Charles perform with her friend, photographer Ken Davidoff.

"All of a sudden I felt a grab, a little nudge. I think it's Ken's camera bag, that was my first instinct," she said. "I turn around and there's Donald. He sort of looked away quickly. I quickly turned back, facing Ray Charles, and I'm stunned."

Trump has not commented on the incident involving McGillivray but vehemently denied the allegations lobbied against him by Leeds and Crooks. "None of this ever took place," he angrily told The Times before threatening legal consequences. When asked if he did what he described in the 2005 video, he said: "I don't do it. I don't do it. It was locker room talk."