Spring will be made deputy chair of the PPA next month. Traditionally, the deputy chair serves for one year before taking over the reins of chairman.
Spring will succeed current chairman Charles Reed, group managing director of William Reed Business Media, when he finishes his two years as chairman in April next year.
Spring will replace current deputy Peter Phippen, managing director of BBC Magazines.
Reed said: "I very much look forward to working with Stevie, who I am sure will be an excellent deputy chair and, of course, the next chair of the PPA.
"I would like to thank Peter Phippen for his great service to the PPA these last few years as both chairman and deputy chairman."
Spring, a fellow of the IPA and the Marketing Society and a patron of the National Advertising Benevolent Society (NABS), said: "I am honoured to have been invited to help shape the strategy for change for our industry at arguably one of the most exciting times in its history. I can't wait to get stuck in."
The PPA appointed former Smash Hits Editor Barry McIlheney as chief executive in February last year and recently rebranded itself as the Professional (formerly Periodical) Publishers Association.
Its flagship annual conference will take place on 4 May.