The petitioner, a city-based NGO named 'Citizen Circle for Social Welfare and Education', has also sought a 24-hour helpline for the children (or their parents) who have fallen in the trap of the deadly online game.
"Downloading mobile games is very easy in India and the authorities are not equipped to handle such issues," the PIL said.
The state and Union governments should be asked to stop online availability or circulation of Blue Whale Challenge game and take legal action against any person found to be promoting or circulating it, the petition demanded.
The PIL is likely to come up for hearing next week.
The Blue Whale game involves completion of various tasks set by its 'administrators', some of them entailing self- injury, which culminate in suicide. The game is believed to have originated in Russia.
Two days ago, the Jaipur Police in Rajasthan had rescued a class 10 girl who tried to kill herself as part of Blue Whale challenge by jumping into a lake.