Francis used to misbehave with his daughters aged 14, 16 and 18, after consuming liquor and it came to light recently after one of the girls broke down during a counselling session in her school and revealed their plight, they said.
He began misbehaving with his daughters after his wife left for Gulf for a job leaving them under his care.
Childline authorities, who were informed about the matter, filed a police complaint.
The man, in an inebriated state, used to force the children to watch porn videos and misbehave with them, police said.
Cases under relevant sections of Indian Penal Code and POCSO (Protection of Children from Sexual Offences) Act have been filed against him.