Anthony, currently appearing in soap Hollyoaks, becomes the fifth woman to accuse the disgraced filmmaker of rape.
The 54-year-old told The Sunday Times that the attack took place in the 1980s.
According to the newspaper, she told the Met Police that she had first met Weinstein in New York, agreeing to meet him later at a house he rented in London.
She said: "The next thing I knew he was half undressed and he grabbed me.
"It was the last thing I expected and I fled."
But Weinstein then started stalking her, she told the paper, turning up at her home.
She said: "He pushed me inside and rammed me against the coat rack.
"He was trying to kiss me and shove inside me.
"Finally I just gave up."
She described the attack as "pathetic and revolting".
Weinstein, one of Hollywood's biggest names, has denied having non-consensual sex with anyone.
But, since the publication of a New York Times report alleging abusive behaviour stretching back decades, allegations of rape, sexual harassment and sexual assault have continued to mount.
Weinstein was kicked out of the Academy of Motion Picture Arts and Sciences on Saturday, a move that follows him being expelled from the company he co-founded after selling Miramax - The Weinstein Company.
His wife, British fashion designer Georgina Chapman, has also said she is leaving him.
He is believed to have checked into rehab.
SOURCE: SKYNEWS