120 complaints have been received by Censors at the British Board of Film Classification (Bbfc) since the release in February, reported Metro online.
It is believed the majority of objections centered on the fact that the film, starring the 22-year-old actor as a lawyer in a haunted village, is too frightening for young viewers.
The BBFC ordered studio heads to cut six seconds of "strong violence" and "horror" from the final edit before agreeing to stamp "The Woman In Black" with the less-restrictive 12A age rating, thereby allowing younger audiences to see the film.
Natalie Portman's ballet thriller "Black Swan" (2011), generated 40 complaints last year after angering audiences "expecting to see a film about ballet".
A small proportion of viewers were unhappy with the intimate scenes in the Darren Aronofsky film, which the BBFC insisted were 15 certificate-appropriate but some complainants felt were "pornographic".