People who brought back a basket would be given a reusable bag in return, "no questions asked".
Andrew said on the whole his store had had "a great response from customers", most of whom were bringing reusable bags when doing their shopping.
The customer reaction follows the Government's plan to phase out single-use plastic bags over the next 12 months.
Prime Minister Jacinda Arden has said: "We're phasing-out single-use plastic bags so we can better look after our environment and safeguard New Zealand's clean, green reputation.
"Every year in New Zealand we use hundreds of millions of single-use plastic bags – a mountain of bags, many of which end up polluting our precious coastal and marine environments and cause serious harm to all kinds of marine life, and all of this when there are viable alternatives for consumers and business."
Ardern said the Government had listened to the 65,000 New Zealanders who had this year called for the ban through a signed petition.
"It's great that many people are already changing the way they shop. But it's important we take the time now to get this right so we can help all New Zealanders adjust their shopping habits," she said.
"We need to be far smarter in the way we manage waste, and this is a good start."