The “Every Little Helps” grocery said the problems have forced them to cancel home deliveries.
They did not specify how many customers or which regions are affected.
A Tesco spokesperson said: “We are working to fix a technical issue which has meant we have had to cancel some online orders that were due for delivery today.
“We’re sorry for the inconvenience.”
It comes just hours after Sainsbury’s was struck with similar technical issues following an overnight software update.
The error cancelled thousands of home deliveries and prevented contactless payments in-store.
Customers were furious online and vented on X, formerly Twitter, at the supermarket.
Fast food chain McDonald’s had a system crash on Friday forcing it to close some of its restuarants.
Customers were reportedly turned away from stores and some reported issues with online ordering.
Earlier a Sainsbury’s spokesperson said: “We are currently experiencing a technical issue affecting some stores, our Groceries Online service and our ability to contact customers directly.
“Unfortunately, we will not be able to fulfil the vast majority of today’s Groceries Online deliveries.
“We are working hard to fix the issue and apologise to our customers for the inconvenience. We will contact customers proactively to rebook orders as soon as we can.”