Australian captain Ricky Ponting demanded greater crowd control after play was stopped several times during his side's 10-run win Saturday.
Pace bowler Glenn McGrath and all-rounder Simon Katich were both hit by missiles which included plastic bottles, pieces of cardboard and bottle tops, and Ponting said security was not up to scratch.
"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," he said.
New Zealand Cricket (NZC) said on Sunday it was concerned about the situation and would review plans for security at the remaining four One-day matches.
It said there appeared to be enough security guards at the Wellington venue but they could have been more proactive.
McGrath said he had no complaints about the crowd despite being targeted with empty plastic bottles, but he had a problem with a security guard with whom he had a verbal altercation.
"You'd call it a misunderstanding or a disagreement and it was partly my fault -- I over-reacted at one stage but he carried it on a bit too much," he told the Sunday Star-Times.
On a previous Australian tour, then captain Steve Waugh threatened to take his players off the field after similar disturbances.