Hollywood 'torment'
Ms Farrow explained that Hollywood had made her "torment worse" by turning "a blind eye" to her story.
"Each time I saw my abuser's face - on a poster, on a t-shirt, on television - I could only hide my panic until I found a place to be alone and fall apart. But this time, I refuse to fall apart," she says.
"Woody Allen is a living testament to the way our society fails the survivors of sexual assault and abuse".
Ms Farrow also takes aim against actors who have appeared in Allen's movies.
"What if it had been your child, Cate Blanchett? You knew me when I was a little girl, Diane Keaton. Have you forgotten me?"
Last month, Diane Keaton accepted a lifetime achievement award for Woody Allen, who has a reputation for being notoriously reclusive.
Her move sparked a major debate on social networks. It drew heavy criticism from Allen's biological son with Mia Farrow, Ronan, who tweeted:
"Missed the Woody Allen tribute - did they put the part where a woman publicly confirmed he molested her at age 7 before or after Annie Hall?"