It picked up gongs for Consumer Media Brand of the Year for Good Housekeeping, and Editor of the Year for the magazine's Lindsay Nicholson.
Will Self was awarded Writer of the Year for Esquire, and Stuart Selner was awarded Designer of the Year for Cosmopolitan. The publisher was shortlisted for 30 awards in April.
Anna Jones, the chief executive at Hearst Magazines UK, said: "The PPA’s are always such hotly contested awards and the premium showcase for magazine media.
"To walk away with four of the top honours is such a fantastic achievement and a real testament to the drive and creativity of our people."
Dennis Publishing received two awards, with Consumer Magazine of the Year for The Week and Specialist Consumer Magazine of the Year for Cyclist.
Immediate Media also picked up two awards for Radio Times. Alison Graham was named Columnist of the Year and Kathy Day, the managing director, was awarded Team Leader of the Year.
Stephen Quinn, the publishing director at Vogue, was inducted into the PPA Hall of Fame. This recognises individuals who have made an "exceptional contribution to magazine media over the course of their long careers".
Haymarket Media Group’s Four Four Two was named highly commended in the Best Use of Social Media category.
Barry McIlheney, the chief executive at the PPA, said: "Congratulations to all of this year’s winners, who can be very proud to stand out from an incredibly competitive field of finalists.
"The class of 2015 exemplify the innovation and creativity that are driving magazine media forward into an exciting multi-platform future, and the PPA is proud to lead and support our industry on that journey."