John Morris, a councillor in Crickhowell, said the park authority was "no longer fit for purpose", and called on its management to step down.
Last month an independent inquiry was critical of the way the park dealt with an application for a caravan site.
The park said it recognised the "urgent need" to improve planning services.
Planning consultants and councillors with wards in the national park will meet on Wednesday to discuss concerns about the park's handling of applications.
It follows the findings made by an independent inquiry, commissioned by the park, into an application relating to a caravan park at Gilestone Farm in Talybont-on-Usk, near Brecon.
"The park authority is no longer fit for purpose"
The inquiry criticised the park after it found that documents were missing from a planning file, and it discovered problems with its complaints procedure. It made 29 recommendations.
Councillor John Morris, who sits on Powys Council and is a former national park councillor, said there had been problems with the park authority's planning procedures for years.
"We will not have any confidence in the national park until there are root and branch changes in the management," he said.
"After the Gilestone report it seems what we have been saying for years is true. The park authority is no longer fit for purpose.
"Planning services should be taken away from the park authority and given to constituent authorities - that's the only way forward."
Ryan Williams, a senior partner with McCartneys surveyors and estate agents in Hay-on-Wye, said the park's planners failed to meet deadlines, lacked "common sense" and did not answer letters or return phone calls.
'Urgent need'
"It's so difficult to get anything through Brecon Beacons National Park. They seem disorganised and seem to be struggling with their brief," he added.
A spokeswoman for Brecon Beacons National Park Authority said an action plan was addressing the findings of the Gilestone report.
She added: "Brecon Beacons National Park Authority recognises the urgent need for improvement and raising standards in planning services.
"We have already taken steps to make sure this happens, but we also understand that there is a great deal of work to be done.
"With the benefit of the recent Gilestone report we are in the process of actioning all the report's recommendations to deliver real improvements to our planning service."
She said the process was being monitored by an internal review committee and the Welsh Assembly Government.
Brecon and Radnorshire AM Kirsty Williams met Sustainability Minister Jane Davidson on Tuesday to discuss the issue.
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