"As of 5pm (1600 GMT) on 31 March, of those hospitalised in the UK who tested positive for coronavirus, 2,352 have sadly died," the health ministry said on its official Twitter page.
Some 29,474 people have now tested positive, an increase of 4,324 over the previous day, it added.
Britain locked down last week in an attempt to combat the virus, but Prime Minister Boris Johnson, who himself has tested positive, warned that it would "get worse before it gets better".
The virus has also hit the royal family, with Prince Charles only coming out of isolation on Tuesday after displaying mild symptoms of the disease.
On Wednesday he released a video message praising the "remarkable" state-run National Health Service. "None of us can say when this will end, but end it will," he said.
"Until it does, let us all try and live with hope and, with faith in ourselves and each other, look forward to better times to come."