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Shoppers need to go to Tesco.com to download the app for iPhone and Android handsets.
The app allows people to add products to an online basket, book a delivery slot and make a payment. Delivery dates are limited to a maximum of three weeks from booking.
The shopping baskets are processed in the same way as on the Tesco.com site.
The supermarket said it had decided to have customers order via screens rather than directly via the app to make sure they bought everything they needed.
"The browsing means that people are reminded of other things they need as they search the fridge and cupboard shelves, as they would do in a real store." Tesco told ZDNet.
"This also is likely to target a younger audience, as in Korea, the 'digital natives' who see little difference between stores and websites," it added.
Image credit: Tesco