Piranha director Alexandre Aja is set to direct the film, based on a book by Joe Hill.
According to Variety, the film will focus on a man who is falsely accused of murdering his girlfriend, and wakes up to find that he has horns growing out of his head.
The horns give him the power to make people confess crimes, which he uses to find out who the real killer is.
Filming on Horns is scheduled to begin later this year.
Radcliffe recently wrapped filming on the upcoming independent drama Kill Your Darlings, in which he plays a young Allen Ginsberg.
His post-Harry Potter debut The Woman in Black recently became the biggest-grossing horror movie in the UK.
Watch a trailer for The Woman in Black below: