Complainant Joseph Dias said that some scenes and dialogues of the film hurt sentiments of Christians and made a mockery of priests.
"The priest is shown in a poor light and hence the film has made a mockery of the Christian sacrament of marriage and the faith. It is a misrepresentation of priests and the community. The dialogues with double meaning are unprintable," said Dias, general secretary of the Catholic-Christian Secular Forum.
A first information report (FIR) was registered at Mumbai's Bandra police station under Sections 295A (deliberate and malicious acts intended to outrage religious feelings) and 34 (acts done by several persons in furtherance of common intention) of the Indian Penal Code, police said.
"A complaint has been registered against the producer, director, writer, actors of the film and others," said an official from the police station.
The FIR did not mention names of the filmmakers or the actors, he said.
"We are investigating the matter and will make arrests if the actors or the filmmakers are found guilty," the official said.
"Kya Super Kool Hai Hum" is produced by Ekta Kapoor and directed by Sachin Yardi. A sequel to the 2006 film "Kya Kool Hai Hum", it has Tusshar Kapoor and Riteish Deshmukh, Sarah Jane Dias and Neha Sharma in lead roles.