ANZ bank says two scams are using its name to take advantage of the quake.
One of the scams is an email that asks users to give their account details, the other is a phone scam in which fake ANZ representatives ask for donations for the quake emergency fund.
ANZ says customers should ignore the scams which it says are in poor taste.
Meanwhile, police said on Monday morning that two people had been arrested overnight for trying to breach the inner-city cordon in Christchurch.
Superintendent Russell Gibson says it is disappointing that people are still trying to enter the central business district, despite the publicity telling them to stay away.
Mr Gibson says the courts are taking a hard line towards those arrested.