Rose, also president of the Planning Officers Society, starts her new role at PAS, which is part of the Local Government Association (LGA), on 21 August.
She succeeds Alice Lester, who left PAS last October to become head of planning and transport at the London Borough of Brent.
In 2007, Rose became head of planning and culture at Rugby Borough Council, with responsibility for economic development, sports and arts as well as planning.
In November 2014, she moved to Milton Keynes Council to become its planning and transport director. An LGA spokesman confirmed Rose will be leaving her current Milton Keynes role.
As well as POS president, Rose is also a PAS peer reviewer and board member and a member of campaign group the Town and Country Planning Association.
Rose said: "This is a really exciting time to be heading up the Planning Advisory Service. "Planning services are suffering from a lack of capacity and yet there is so much to do.
"I will work with the PAS team to provide resources that will free up time for planners to focus on the really important and interesting agenda we have to deliver."
PAS chairman Stephen Parker, a member of Hart District Council in Hampshire, said: "Anna is well respected within the planning community and her wealth of knowledge, skills and expertise will be invaluable in continuing the great work of the Planning Advisory Service.
"I welcome Anna to the PAS team and look forward to working with her to continue to provide high quality help, advice and support to councils up and down the country."
PAS provides advice, support and training on planning and service delivery to councils and is funded by the Department for Communities and Local Government.