"It's a big task but we are totally committed to change - we always have been," Anderson said in a statement.
"New Zealanders have always been able to make a personal choice to ban plastic bags from their lives and use reusable bags or boxes for their groceries - they just need to change the habit of a lifetime."
On February 1 New World will introduce a 10c voluntary donation per plastic bag, which will go to environmental causes and a 5c rebate for each reusable bag in North Island New World stores will continue.
Anderson said the company is reviewing its approach to plastic packaging, plastic products and looking to minimise waste overall.
Countdown introduced New Zealand's first plastic bag-free supermarket on Waiheke Island in May last year. Customers bring their own bags or buy compostable bags for 15 cents.