The extent and cause of the outage are unclear.
"We are aware some customers are experiencing Visa debit card issues", the bank said.
More than 95 per cent of debit cards in the United Kingdom run on Visa's network.
On Saturday, the Daily Telegraph also reported that more than £1 in every £3 in the United Kingdom is spent on a Visa card, using a system created to process up to 65,000 transactions per second.
Several bank machines were out of order on West Street in Sheffield yesterday afternoon though it is not now known if this was related to Visa's system failure.
"Our goal is to ensure all Visa payments work reliably 24 hours a day, 365 days a year". She was flustered trying to pay her bill and then add the extra value points to her loyalty card at the Customer Service desk.
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The Bank of Ireland has taken to Twitter to assure customers they can make withdrawals at any BOI cash mashines.
A United Kingdom wide payment issue is affecting local businesses this afternoon.
Visa has still not confirmed the cause of the outage and if it's been corrected.
Users of many United Kingdom banks have received alerts or messages informing them of a "disruption of service" which means they can not spend or receive money.
Top pic: Cash, you don't get these problems with that!
"We are in touch with Visa to help provide a fix to this and we'll issue an update via our social channels and email as soon as we have one".