What is the name of Alfred film where woman fell out tower?

You're likely thinking of the Alfred Hitchcock film "Vertigo" (1958). In this classic thriller, a retired detective suffering from acrophobia (fear of heights) is hired to follow a woman who seems to be possessed by the spirit of her deceased grandmother. The film features a famous scene where the woman, Madeleine Elster, falls from a tower in the Golden Gate Bridge, although this scene is revealed to be a hallucination.