The match in Wellington was stopped several times after Australian players, including pace bowler Glenn McGrath and all rounder Simon Katich, complained to the umpires that they had been hit by plastic bottles thrown from the crowd.
Ponting told a news conference the security arrangements were not up to scratch.
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"You have to have more security guys around the players on the boundary. They've got to have some sort of power, get the police involved, whatever."
Former Australia skipper Steve Waugh threatened to take his players off the field after similar crowd disturbances in New Zealand five years ago.