Singer Justin Bieber poses for the media.
The Canadian pop star filed the lawsuit in Los Angeles Superior Court on Thursday after saying on Twitter earlier this week that a claim that he sexually assaulted a woman in 2014 was "factually impossible."
The woman, who identified herself as Danielle but said she was posting anonymously, said in a Twitter posting that has since been deleted that she was sexually assaulted by the singer at a hotel in Austin, Texas, on March 9, 2014.
The other woman, who identified herself as Kadi, said on Twitter that she was sexually assaulted by Bieber in a New York hotel room in May 2015.
The lawsuit said the accusations by the two women were "outrageous, fabricated lies" and seeks a jury trial and $20 million in damages.
Neither of the women could be reached for comment on Friday. Bieber's representatives on Friday did not respond to requests for comment about the lawsuit.
The lawsuit said the two women were "trying to capitalize on the climate of fear permeating the entertainment industry, Hollywood and corporate America, whereby it is open season for anyone to make any claim (no matter how vile, unsupported, and provably false) about anyone without consequence."
Hundreds of men in entertainment, business, sports and politics have been accused of sexual misconduct since the #MeToo movement became a cultural force in 2017.
Bieber, now 26, was discovered at age 13 and has become one of the world's most popular musicians.
The lawsuit detailed hotel receipts, emails and news reports to assert that Bieber was not staying at the hotel in Austin where Danielle alleged that the 2014 assault had taken place.
It said that Kadi's accusation was false and that she had fabricated her allegation "out of her desire for fame and attention."
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Najah Salam was born on March 13, 1931, in Beirut. Her father is the artist and writer Muhyiddin Salam, one of the most prominent composers and oud players in Lebanon and the Arab world.
"We are devastated to announce the loss of Sir Michael Gambon," a statement issued on behalf of his family said.