The and follows a similar move initiated by customers magazine association APA last year.
The separation means that the AOP now has greater control over its own finances and corporate governance and comes in the same week PPA unveiled its new chief executive Barry McIlheney.
The two bodies, however, will continue to operate from the same office and work together on a number of issues, like regulation and online content.
The PPA said the move has been prompted by the need for the AOP to develop specifically tailored initiatives to its members.
Lee Baker, director of AOP, said: "The scale of demand on the AOP has increased as digital has grown to be a significant factor for businesses and consumers alike.
"We recognise our responsibility to continually review the needs and requirements of our members, and the changing nature of our relationship with the PPA."
Eric Verdon-Roe, consultant to the PPA, said: "While the PPA serves the interests of publishers working across multiple platforms, AOP concentrates on the online activities and I believe that loosening of our ties with AOP allows both organisations to work very closely together when we choose to, but also to dedicate our activities to the specialised needs of our members."
The AOP was originally formed in 2002, as part of the PPA in response to the growth of the internet as a publishing medium.