In an open letter, Dylan Farrow accuses Allen of molesting her in a "dim, closet-like attic" at the age of seven.
Ms Farrow, now 28, also criticises Hollywood's continued celebration of "a predator [who] brought chaos into our home".
Allen was investigated over the abuse allegations at the time of the incident, but was not charged.
A panel of psychologists, appointed by US prosecutors and the police, concluded that Dylan had not been molested.
The case caused controversy when a prosecutor later said there had been "probably cause" to charge Allen, but he had chosen not to, in order to protect the child.