After the ban comes into effect, Woolworths's online customers will have to pay an extra 3.50 yuan.
The supermarket will charge the fee from next Wednesday (June 20).
Customers who don't have their own shopping bags pay for them when they check out, and customers who shop through the site are charged higher fees.
Online shoppers who choose to pack food in a delivery box, (crate), pay 3.50 yuan, and online shoppers who choose reusable bags pay $1, Woolworths said.
A spokesman for Woolworths told the Australian Daily Mail that the shipping box option fee reflects the additional cost of providing the new service.
He said: "choosing a new delivery box service means that after the customer orders, the goods will be placed directly in our delivery box, and when the delivery driver arrives, the delivery box will be placed on the counter of the customer's home and the goods will be taken out."
For on-site customers, Woolworths offers reusable bags of 15 cents each and folding bags of 99 cents each.
Previously, online shoppers bought goods using free disposable plastic bags delivered to the door, but Woolworths recently announced that in order to protect the environment, will be abandoned in the future use of plastic bags, so to charge online buyers a new fee.
Last year, Woolworths and rival Coles joined the campaign to phase out disposable plastic bags and decided to ban all stores across the country by July 1, 2018.
Karen Donaldson, general manager of Coles online, said: "Coles online has a reusable shipping box, and this new bag-free delivery will not incur additional costs. When the goods are delivered to the door, the customer takes out the goods they buy at home, and then the delivery man returns with the delivery box. "
Supermarkets in Tata, South Australia, Canberra and the Northern Territory have complied with previous plastic bans issued by the local government. The new move will require all Woolworths supermarkets in Victoria, New, Queensland and Western Australia to comply.