According to several women, who were then 16 years old, he is said to have made several "sexual calls" to them late at night. He also claims to have been walking around naked and masturbated in front of one of the women.
A representative for Leto has denied the allegations and claims that they are "proven to be false".
Leto has not yet commented on the allegations, which were first published in the online magazine Air Mail.
53-year-old Jared Leto broke through in the TV series "My So-Called Life" in 1994 and he received an Oscar in 2013 for his role in the film "Dallas Buyers Club". In addition to his acting career, Leto is also a musician, with his own band Thirty Seconds To Mars.