The public interest litigation (PIL) also challenged the UA certificate given to "Finding Fanny", which is scheduled to release Friday.
The film also stars Naseeruddin Shah, Dimple Kapadia and Pankaj Kapoor.
The plea would come up for hearing Wednesday before a division bench of Chief Justice G. Rohini and Justice R.S Endlaw.
The PIL filed by Nandini Tiwari and NGO Jai Jagriti Foundation through their lawyer Abhishek Krishna said the word "fanny" was a slang and should be removed from the movie, its songs, posters and banners.
It said the dictionary meaning of the word "fanny" was highly sexually explicit, and using the word in the movie will hurt the feelings of the citizens of India, especially minor children.
Tiwari, mother of a four-year-old, said allowing such words in films and television will pollute children's minds.
Questioning the UA certificate, the plea sought a ban on the film's release and direction to the filmmakers to delete the word "fanny" from the movie, songs and posters.
The plea was filed against the information and broadcasting ministry, the film's producer, director and actors.
