Tye will serve as the association's deputy chairman for one year from 1 January 2015 following a vote at a recent meeting of the PPA Board.
He will then replace current chairman Kevin Costello, chief executive of Haymarket Media Group, when he steps down from the role on 1 January 2016.
Tye became the chief executive of Dennis Publishing in 2006 and has spearheaded the company's transition from a traditional print company to one of the pioneers in the digital space.
The company has a turnover of more than £100 million and more than 30 brands within its portfolio, including The Week, Auto Express, Carbuyer.co.uk, Men's Fitness and expertreviews.co.uk.
Barry McIlheney, chief executive of the PPA, said: "Having James on board as deputy chairman is a really positive move for the association.
"Dennis Publishing by its nature is a progressive, entrepreneurial company, as shown by the fact they were recently named Publisher of the Year at the PPA Digital Awards 2014.
"I have no doubt that James will bring that drive and energy to his role as deputy chairman and, ultimately, chairman of the PPA.
"I'm excited to be working with both James and Kevin to ensure that the PPA continues to evolve and represent the changing priorities of the magazine media companies within our membership."
PPA's current chairman, Costello said he was "thrilled" at the appointment, calling it an "exciting and pivotal time for the association".
Tye said: "As magazines and publishing in general go through a period of unprecedented change, this is truly an exhilarating time for the PPA and its member companies.
"I very much look forward to working with the whole team to help ensure that the PPA retains its authority, relevance and effectiveness for many years to come."
Outgoing deputy chairman Kevin Hand continues in his role as honorary vice president of the European Magazine Media Association (EMMA) and also as a member of the Board of the Independent Press Standards Organisation (IPSO).