The acknowledgement had caused a furore, with the opposition parties trading barbs at BJP's PM nominee over the “late admission” of his relationship with Jashodaben.
In earlier assembly elections, Modi had left the “spouse” column blank.
As the city police were seemingly not keen to entertain Verma's application seeking registration of an FIR against Modi, the AAP member approached the court.
Verma had also written to state Chief Electoral Officer Anita Karwal seeking action against the chief minister.
Verma had listed a number of IPC sections in his application against Modi for giving a false statement, false evidence under oath, for abetting a false statement or evidence and cheating or dishonestly inducing delivery of property.