The 60-year-old hip-hop legend denied the rape accusations -- which date back to 1988 -- and voiced support for the growing movement of women speaking out against abusive men.
Simmons announced on November 30 that he was stepping down from his business roles after two women accused him of assault, which he also denied.
But The New York Times article described an alleged pattern of behaviour by the enormously influential Def Jam Recordings co-founder, who was accused of preying on women entering the industry.
She told the newspaper that he pinned her down as raped her. The Times said the account was confirmed by four people close to her including her ex-husband and therapist.
"I didn't have sex with a man for almost nine years" afterward, Baker told the newspaper. "I went into a cocoon."
Simmons said he never had sex with Baker. He said in a statement: "I vehemently deny all these allegations."
"I have accepted that I can and should get dirt on my sleeves if it means witnessing the birth of a new consciousness about women," he said.
But the newspaper also reported an incident in 2014 in which a woman said Simmons touched her inappropriately after encountering him in a Miami hotel.
Simmons and fellow producer Rick Rubin helped bring hip- hop to wide US audiences in the 1980s when they founded Def Jam, a label that signed major acts such as the Beastie Boys, LL Cool J and later Public Enemy.
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