The title track was written specifically for Sinatra by Sammy Cahn and Jimmy Van Heusen. The song "Have You Met Miss Jones?" was recorded for the album, though left off the final track listing. Ring-a-Ding-Ding! reached No. 4; it was given favorable reviews by Stereo Review, and, although a similar album (Sinatra's Swingin' Session!!!) was released by Capitol a mere two months prior, Ring-A-Ding-Ding! managed to maintain a 35-week stay on the charts. In the UK, the album reached No. 8 and stayed for 9 weeks on the chart.

The album was reissued by Concord Records on June 7, 2011 to mark its 50th Anniversary. According to several reviewers[who?], compared to the original CD issues, or the previously issued LP's, this CD is a noteworthy improvement in sound. Some of the original top-heavy reverberation on Sinatra's voice has been decreased for a more natural effect. But what has plagued this album since its first CD issue is that the channels are reversed from any of the original LP and tape issues.[citation needed] From its first issue on CD, the brass is on the left and saxes on the right. But on open reel tape and the original LP issues, the brass is on the right with saxes on the left.