The show, a weekly one-hour programme from 10pm every Friday night presented by Jumoke Fashola, will feature music from artists who have performed at the club, as well as interviews and archive tracks recorded at the club.
One regular feature will be Classic '59, celebrating what the station says is jazz's most legendary year, as well as the year Ronnie Scott's opened its doors.
The first programme will feature an interview with Dee Dee Bridgewater and Madeleine Bell, while future guests include Kyle Eastwood, Ron Carter, Joe Lovano, Eddie Palmieri, Marlena Shaw and Pharoah Sanders.
Fashola, a jazz vocalist whose radio credits include BBC London's Late Show, said she was delighted to get the opportunity to present the show.
"It's a dream come true as a broadcaster to get a chance to combine my passion for radio and jazz," she said. "I have spent some of the best nights of my life at Ronnie's, listening to my jazz heroes. Now I have a bona fide excuse to barge into the dressing rooms and meet them."