It is the highest number of day-on-day deaths since April 9 and the seventh day in a row where new coronavirus cases have exceeded more than 30,000.
It comes after ministers confirmed England would move to the final stage of easing Covid restrictions on July 19.
More than 54,000 people received their second dose of the vaccine on Monday, which brings the total number of people who had both jabs to almost 35million.
The government has announced plans to end lockdown restraints in England on Monday.
However, the large rise in cases comes as some scientists said it was “too early to be talking about massive relaxation” of restrictions, despite the successful vaccine rollout.
World Health Organisation special envoy on Covid-19 Dr David Nabarro told Radio 4’s Today programme that the “pandemic is advancing ferociously around the world” and that we haven’t “got through the worst of it”.
He said: “Yes, relax, but don’t have these mixed messages about what’s going on.
“This dangerous virus hasn’t gone away, its variants are coming back and are threatening those who have already been vaccinated – we have to take it seriously.”
The British Medical Association also warned of “potentially devastating consequences” after Boris Johnson confirmed that most mandatory Covid restrictions will end on July 19.