Appearing on The Late Show with Stephen Colbert on Wednesday night, Franco said the claims weren't accurate, but he fully supported women coming forward.
When no one volunteered, he reportedly stormed off.
The most notorious moment came in 2014 when Gawker published private messages between Franco and a then-17-year-old female fan.
Tither-Kaplan said Franco has since personally apologized to her for making her feel uncomfortable.
On Sunday she called Franco out on social media after the Globes ceremony, publicly recounting an incident in which she says he pressured her to perform oral sex inside a auto.
They had begun a romantic relationship when she said he pressured her into performing oral sex on him - an act she'd never done with him at that point - while sitting in her vehicle.
NYC Sues Fossil Fuel Industry over Hidden Costs of Climate Change
The lawsuit links global warming to extreme temperatures, severe snowfall, risen sea levels, and more flooding across the state. He also says the city will divest the US$5bn that its pension funds now hold in fossil fuel companies.
- Sarah Tither-Kaplan (@sarahtk) January 10, 2018A couple weeks ago, James offered me & a few other girls an overdue, annoyed, convenient phone "apology". "So I support them". At the time, Franco said he was "embarrassed" by the situation, and social media was "tricky".
She wrote the line back in September of 2017 and is now defending herself against Twitter trolls, who are questioning her intentions in sharing her story about Franco. Franco shouldn't, in his words, "take a knock because I'm not gonna try and actively refute things".
"I'm here to listen and learn and change my perspective where it's off, and I'm completely willing and want to". "I think it's a good thing, and it's important". It's with that backdrop that HBO has confirmed a second season of The Deuce (in which Franco stars as twins Vincent Martino and Frankie Martino and has executive producer and director credits too) will be going ahead.
"I live in NY, so one of my favourite shows of the year was The Deuce". If I have done something wrong, I will fix it - I have to.
"I pride myself on taking responsibility for things I've done", he said, reiterating his position that the accounts were false. "I knew I felt weird about it".
"There are people that need to be heard", Franco said on the late-night talk show. "I used bad judgment and I learned my lesson". "I don't want that".
The actor has not escaped fall out from the accusations.
Franco's appearance came hours after The New York Times cancelled a public event scheduled Wednesday that was meant to feature "The Disaster Artist" director and star and his brother and co-star, Dave Franco, discussing the film with a Times reporter. But in light of his recent allegations, these seemingly innocuous (if cringe-worthy) habits take on a more sinister look.