The actor filed a complaint against a woman in her mid-30s who has been harassing him for over a year, reports The Times of India.
Inspector Nandkumar Mhetar of Mumbai's Versova police station, said: "It is a non-cognizable offence and we can, at best, warn her against harassing the actor in future."
The accused stalker is reportedly Vastavikta Pandit, the daughter of well-known veteran actor Raaj Kumar.
Kapoor alleged that Pandit had tailed him in her car, blocked the way of his vehicle and followed him to a number of shooting locations and film studios.
The actor's bodyguards have reportedly had to intervene on a number of occasions.
Pandit had earlier featured in the 2006 project Eight Shani, but found little commercial success in Bollywood.
Kapoor recently secured second place behind Hrithik Roshan in a poll for 2011's 'Sexiest Asian Man in the World'.
Kapoor's next film is opposite Priyanka Chopra in Kunal Kohli's latest.