Ms Sciorra told the New Yorker's Ronan Farrow that the assault happened in 1992 after she had filmed The Night We Never Met, which Weinstein produced.
The producer forced himself into her apartment in New York while she was getting ready for bed after he had dropped her off following a group dinner.
She said Weinstein "pushed the door open" and refused to leave when asked, before shoving her onto the bed and raping her.
"I struggled, but I had very little strength left in me," she said.
"Like most of these women, I was so ashamed of what happened. And I fought. I fought. But still I was like, Why did I open that door?... I felt disgusting."
The actress said she did not report the incident to the police, but alleges her career began to suffer and did not work again until 1995.
"I just kept getting this pushback of 'We heard you were difficult; we heard this or that.' I think that that was the Harvey machine."
She said the producer continued to pursue her, including turning up at her hotel room at the 1997 Cannes Film Festival wearing only his underwear.