The complainant claimed that she was in a relationship with Mimoh since 2015 and he had promised to marry her but backtracked.
"We have lodged the complaint and are investigating the matter," Senior Police Inspector Dayanand H Bangar said, but declined to elaborate.
The complainant has also named Mimoh's mother (Mithun's wife), former actress Yogeeta Bali, as co-accused.
The complainant claimed that she was in a relationship with Mimoh since 2015 and he had promised to marry her but backtracked. She alleged that Mimoh called her home at that point in time and spiked her drink, before forcibly getting physical with her.
She alleged that when she became pregnant, Mimoh forced her to abort and when she refused he gave her some pills that terminated her pregnancy.
The woman also claimed that she was threatened by Mimoh's mother when she tried to lodge a police complaint.
Earlier, she had lodged a similar complaint against them with Begumpur Police Station in New Delhi in June 2018 in which a court had granted anticipatory bail to the mother-son duo.
In March this year, the Delhi High Court directed the victim to lodge a complaint in the jurisdiction where the offence had taken place after which she approached the Oshiwara Police Station in Mumbai.
Married to television serial actress Madalasa Sharma in 2018, Mahaakshay, 36, made his Bollywood debut with Jimmy (2008).