According to police, the man, employed with a private firm, allegedly used to sexually harass his daughter and tried to force himself on her on the night of the incident by wielding a knife.
"However, the girl resisted and during the scuffle between them, the man suffered injuries," said Naupada police station sub-inspector SB Raut.
Raut said the girl had lost her mother earlier and she and her father are the only occupants of the house.
The man is not arrested yet as has been undergoing treatment for his injuries at state-run J J Hospital in Mumbai.
Police have not recorded his statement, Raut said.