The movie mogul was in the audience at a showcase for emerging talent when comedian Kelly Bachman criticised him on stage.
Weinstein has been accused of several counts of sexual assault, which he denies.
Bachman referred to him as "the elephant in the room" and "Freddy Krueger" as she spoke at the event.
His representative said the behaviour of the women was "rude" and "uncalled for".
"I didn't know we had to bring our own Mace and rape whistles to Actor's Hour," Bachman is seen saying in video footage posted on Instagram.