Sainsbury's has removed plastic bags from fruit and vegetables by letting shoppers use resusable drawstring bags instead at two stores.
People can also bring their own containers or pay 30p for a bag made from recycled materials.
The trial is taking place at Kidlington in Oxfordshire and the Lincoln store.
The supermarket wants to remove plastic bags from all its shops by September.
Scott Ward, manager at Sainsbury's Lincoln store, said there was 'customer demand' for removing single-use plastic.