The trial will run in two stores -- Guildford in Surrey and Ilminster in Somerset -- for six weeks from today. Any packaging to be handed over will be recycled.
Tesco said consumers might have to keep the packaging of certain products that either contained vital information about ingredients or were needed for regulatory reasons.
Tesco has over 3,500 recycling and packaging reduction projects on the go. A Local Government Association survey found Tesco used the lowest amount of packaging on its products compared to other retailers.
A separate survey by corporate consultancy Good Business found nearly 70% of consumers would be more likely to buy products with reduced packaging.
However Tesco's recycling schemes have met with mixed success.