Bernardi’s phased out single-use plastic bags at the checkout in May, Woolworths follows suit from June 20.

Big W along with Coles in Parkes will follow on Sunday, July 1.

The ban is happening statewide at major retailers.

South Australia was the first state to phase the bags out in 2009. 

ACT and the Northern Territory were the next to follow suit in 2011, while Tasmania banned them in 2013.

Queensland, Victoria and Western Australia will also ban the bags from July 1 this year.

The NSW Government has refused to ban single-use plastic bags, arguing the moves by the supermarket chains will be enough to reduce plastic bag use.

Last July NSW Premier Gladys Berejiklian said she did not need to ban plastic bags in NSW, “because 80 per cent of plastic bags” will already be banned by the supermarkets themselves.

Woolworths and Coles joined the push to rid Australia of disposable plastic bags last July, and set a deadline of June 30, 2018 for their stores to stop offering them to shoppers.

Woolworths later brought forward that deadline to June 20.

Woolworths give out more than 3.2 billion lightweight plastic bags a year and, according to Clean Up Australia's managing director Terrie-Ann Johnson, Australians use about six billion plastic bags every year.

Instead of single-use plastic bags, stores sell a range of alternative shopping bag options, which include thicker reusable versions at the checkout.

Thicker reusable plastic bags at 15 cents each will be the cheapest alternative at Woolworths, Big W and Coles, with “green bags” or more durable and chill bags also on offer, ranging from 99 cents and above.

This month Coles and Woolworths stepped up their war on plastic, introducing new targets to slash the amount of wrapping on fresh fruit and vegetables as well as tackling food waste.