Prosecutors said today there was insufficient evidence to bring a case against the 65-year-old Gambaccini.
The prominent broadcaster has maintained his innocence since he was arrested last year. He has worked at BBC for more than four decades and become one of Britain's best-known music presenters.
Gambaccini released a statement saying he would not discuss the "trauma" he had been "unjustly subjected to" following his arrest. He said he was grateful for public support he had received and indicated he would shortly return to work.