The company called for an accurate summary of the numbers of carparks needed for the court and other developments and sought assurances the spaces would be available before developments were up and running.
The council's transport assessment said the court expansion would create demand for 327 parking spaces, of which 87 could be placed on the site and 38 on a new road.
When the ministry could not provide the required spaces for the present building, it had paid the council cash in lieu of providing 97 places.
For the expansion, it expected a further 105 spaces would be provided under a similar deal with Auckland Transport.
The agency said parking at a new parking building with 676 spaces in Ronwood Ave - a five-minute walk from the court - costs $8 for two to three hours.
Otara-Papatoetoe Local Board chairman John McCracken said parking would be made harder to find by a bus interchange being built on council land in Davies Ave now used for parking.