Nigam, in his tweet, had compared Radhe Maa to a Hindu goddess, said the police.
"The police received two applications against Nigam for his tweet regarding Radhe Ma a few days ago," said deputy commissioner of police M Dahikar.
The Samtanagar and Sakinaka police stations received two applications against the singer, requesting police to file a first information report, for "hurting religious sentiments".
"The police haven't filed any FIR against the singer yet," Dahikar said.