Discount Germany-headquartered supermarket Lidl is permanently removing the single-use bags from its UK shops by July 2017 in a move it says will save 63 million plastic bags each year.
Instead, customers wanting a bag at the till will need to buy one of the chain's bags-for-life range, priced from 9p to 59p.
The chain said it hoped ditching the 5p bags would "strongly discourage consumers from a single use, throw-away mind-set".
Lidl UK commercial director Ryan McDonnell, said: “Our pledge to stop selling single-use carrier bags is all about promoting a more environmentally friendly alternative.
"It will directly encourage shoppers to think about sustainability, and the role they can play in reducing unnecessary plastic waste.
"The levy introduced by the government last year was an important start, and as a responsible retailer, we see it as our role to invest in a sustainable future and to bring our customers on that journey with us."
After the 5p charge was introduced in October last year the number of plastic bags sold dropped dramatically from seven billion to half a billion.
Meanwhile, the UK supermarket Tesco has revealed that more than 1.5 billion single-use carrier bags have been saved by its customers in England since the introduction of the government bag charge a year ago.
Customers shopping on the retailer's website have also slashed the number of bags they use, with 57% of online shoppers selecting ‘bagless' deliveries.