Kiwibank's communications manager Bruce Thompson said Kiwibank ATMs had been targeted along with other banks' machines in a number of different towns, including Tauranga.
Mr Thompson would not reveal the exact locations of the ATMs to ensure the police investigation was "not compromised".
But he had been made aware that at least two dozen customers from a number of different banks both locally and in other cities had their cards compromised.
"As soon as Kiwibank identified a skimming device had been placed on our machines we contacted the affected people and immediately reversed any fraudulent transactions."
Mr Thompson said affected customers would be reimbursed and new bank cards issued.
These skimming devices are sometimes left on the ATMs for only 2-3 hours and then removed and placed onto another machine somewhere else, he said
"We urge people to look closely at the ATM machine before using it and always cover their PIN with their hand when making a withdrawal."
A BNZ spokeswoman said no BNZ machines had been skimmed but a BNZ customer had their bank card compromised at a Kiwibank machine.
ANZ senior external communications manager Stefan Herrick said there was no indication there had been fraudulent skimming activity on any of the bank's ATMs.
"But a number of ATM cardholders had their cards compromised by using another bank's affected ATMs and these customers will be reimbursed for any loss and issued new cards."
ANZ would continue to monitor ATM transactions for anything out of the ordinary, he said.
Bay of Plenty Times sports writer Peter White was among the victims.
Mr White, who is a TSB customer, said he received a call from the bank on Tuesday.
"They told me they had cancelled my eftpos card because it was used a couple of weeks ago at ATM at Paper Plus in Grey St, which is one of the targeted machines.
"Fortunately my bank account had not been touched but I am impressed TSB took the initiative without asking first to cancel my card in case I was hacked," he said.
"It's inconvenient having to wait for another eftpos card to arrive, but I'm grateful to TSB as the skimmers did not get the chance to clean out my account." he said.
Safety advice for bank customers
Keep an eye on your bank cards at all times
Record where and when you use it
Remember to always cover you hand when entering you PIN number
Ring your bank and police immediately if you believe your card has been skimmed