Detective Senior Sergeant Russ Bagley, of the Auckland police financial crime unit, said the offending total was around $1 million and rising.
Several people are believed to have carried out the fraud in the past seven weeks, using "skimming" machines to steal people's information and then sending it to associates overseas.
The fraudsters fit a device over the slot where the card is inserted into the ATM. They collect information from the card's magnetic strip and a small camera above the keyboard records the PIN being entered.
Similar cases over the past six years have netted more than $100,000 and involved conmen from Russia, Romania, Canada and Malaysia.
An ANZ National spokesman said the bank was working closely with police to catch the criminals.
"The best way to put skimmers out of business is for ATM users to be vigilant to suspicious activity around ATMs, and to cover the keypad with their hand when entering their PIN."
Do you know this man?
Anyone who can identify this man or knows his whereabouts should contact Detective Senior Sergeant Russ Bagley on 09 302 6972 or Crimestoppers anonymously on 0800 555 111.