“I’m really disappointed,” Ms. Paley said. “I’m getting harassed by his fans for speaking out, like this is something I wanted.”
She added, “He had months of opportunity to make it right, and he didn’t. I’m getting death threats. He’s just going on, talking about his movie.”
During the Golden Globes, Ms. Paley was one of several women who took offense at the fact that Mr. Franco was wearing a pin supporting Time’s Up, an initiative founded by powerful women in the entertainment industry to fight workplace sexual harassment.
Ms. Paley, now 23, has said she was 21 when she began a romantic relationship with Mr. Franco, during which she said he coerced her to perform oral sex on him. In a tweet posted on Sunday, she wrote, “Cute #TIMESUP pin James Franco,” adding further details of her accusation.
Sarah Tither-Kaplan, another woman who criticized Mr. Franco that night, wrote in a Twitter post directed at him, “Remember a few weeks ago when you told me the full nudity you had me do in two of your movies for $100/day wasn’t exploitative because I signed a contract to do it?”
Ms. Tither-Kaplan later told The L.A. Times that she felt pressured to appear nude in an orgy scene in Mr. Franco’s yet unreleased film “The Long Home,” and that other actresses who appeared in the scene wore plastic guards covering their vaginas that Mr. Franco removed before simulating sex acts with them.
“I got it in my head pretty quickly that, O.K., you don’t say ‘no’ to this guy,” Ms. Tither-Kaplan told The L.A. Times.
Mr. Franco’s attorney, Michael Plonsker, told The L.A. Times that he disputed all of the women’s allegations in the article. Contacted by The New York Times, representatives for the actor pointed to Mr. Franco’s comments in late-night television interviews in which he said the women’s tweets were inaccurate but that he supported their right to speak out.
The actress Ally Sheedy, who appeared in a 2014 Off Broadway production of “The Long Shrift” that Mr. Franco directed, wrote in a Twitter post on Sunday, “James Franco just won. Please never ask me why I left the film/tv business.”
Ms. Sheedy later deleted the Twitter post. She did not reply to a request for comment from The New York Times.
Mr. Franco, 39, has acted widely in films and TV shows, including “Freaks and Geeks,” “Pineapple Express,” “Spring Breakers” and “127 Hours,” which earned him an Academy Award nomination for best actor. He currently stars in the HBO drama “The Deuce,” playing dual roles as twin brothers in 1970s New York.
In a statement, David Simon, a co-creator of “The Deuce,” said that after checking with fellow producers, “we have no complainant or complaint or any awareness of any incident of concern involving Mr. Franco. Nor has HBO been approached with any complaint. In our experience, he was entirely professional as an actor, director and producer.”
Mr. Franco is also the director of “The Disaster Artist,” as well as a prolific writer, stage performer and visual artist, and he ran a film and acting school called Studio 4 that closed last fall.
In 2014, he acknowledged that he had tried to pick up a 17-year-old girl on social media after images of their Instagram messages were circulated online.
At that time, Mr. Franco said in an interview with Howard Stern, “They make it out like I’m pursuing young women. I’m not going to high schools looking for dates. I’m leaving my work and they’re coming there. So, I’m seeing attractive women.”
Ms. Paley said she reached out to Mr. Franco in October after The New York Times published a report revealing that the film producer Harvey Weinstein had paid settlements to several women who accused him of sexual harassment.
Ms. Paley said she called on Mr. Franco then to apologize to her and to other women who said he mistreated them. She said she did not receive an apology until several weeks later, when journalists from BuzzFeed began making inquiries about Mr. Franco’s past behavior.
In a Tuesday appearance on CBS’s “The Late Show,” Mr. Franco told the host Stephen Colbert, “The things that I heard that were on Twitter are not accurate, but I completely support people coming out and being able to have a voice.”
Headded, “If there’s restitution to be made, I will make it. I’m here to listen and learn and change my perspective where it’s off.”
Appearing Wednesday on NBC’s “Late Night With Seth Meyers,” Mr. Franco said, “I have my own side of this story, but I believe in these people that have been underrepresented getting their stories out enough that I will hold back things that I could say just because I believe in it that much.”
He added, “And if I have to take a knock because I’m not going to try and actively refute things, then I will, because I believe in it that much.”
The New York Times canceled a public TimesTalks interview with Mr. Franco, scheduled for Wednesday. “The event was intended to be a discussion of the making of the film ‘The Disaster Artist,’” The Times said in a statement. “Given the controversy surrounding recent allegations, we’re no longer comfortable proceeding in that vein.”