Tesco is to remove one billion pieces of plastic from its products by the end of next year.
The supermarket says small bags - used for things like loose fruit and bakery items - will be replaced with paper ones.
It will no longer stock plastic trays from ready meals, secondary lids on things like yoghurt and wrappers around greeting cards.
In August Tesco met with 1,500 suppliers to 'let them know that packaging will form a key part of its decision-making process which determines which products are sold in its stores'.
The retailer says it has since worked with its suppliers 'making clear that it reserves the right to no longer stock products that use excessive or hard to recycle materials'.
Tesco has already stopped offering carrier bags with online deliveries - a decision which will stop 250 million bags being produced every year.
Tesco CEO Dave Lewis said: "Our work to Remove, Reduce, Reuse & Recycle is already transforming our packaging.
"Over the next twelve months, we will remove one billion pieces of plastic, further reducing the environmental impact of the products we sell.
"By focusing on solutions that we can apply across all our UK stores and supply chain, we can make a significant difference and achieve real scale in our efforts to tackle plastic."