The accused, Subodh Singh, was arrested yesterday, police said.
Police had on the night of April 7 received a call in the Control Room that a bomb would explode at Jama Masjid.
Senior police officials and personnel had rushed to the spot and searches were conducted but nothing suspicious was found, police said, adding it was a hoax call.
"After exhaustive enquiries the identity of the person was established," a senior police official said, adding that Subodh, who worked at Singh Tour and Travel Agency in Kashmeri Gate was arrested.
"The mobile phone along with sim card used in making the hoax call has also been recovered from his possession. The sim was registered in the name of his mother-in-law," the official said.