New Delhi police spokesman Rajan Bhagat says police informed concert organizers that they would not be allowed to stage Tuesday night's show.
Bhagat did not give further details. However, the Indian Express newspaper reported that organizers sold 10,000 tickets for a venue that has a capacity of 6,000, causing police to become concerned about the safety of concertgoers.
The concert's organizers said they would try to reschedule the show at another venue.
Adams is visiting India, Bangladesh and Nepal on his current tour.