Everhart's story is disturbing, she says she was once at a Venice Film Festival sleeping aboard a boat, and when she woke up, Weinstein was standing in front of her blocking the door.
The supermodel -- who called into the Frosty, Heidi and Frank Morning Show Friday -- says Weinstein took his pants down and started "doing his stuff," then claims he finished up on the floor in front of her.
Everhart claims Weinstein then said, "You're a nice girl, you shouldn't tell anybody about this."
She says she immediately told everybody on the boat, but "nobody did anything about it" because "everyone was terrified of Harvey."
Everhart's story seems to fit the bill of many of the women accusing him of sexual harassment, and worse ... that Weinstein's power in Hollywood kept everyone quiet.