The UK has recorded its highest ever total of 60,916 coronavirus cases in 24 hours, while 830 more deaths have been reported.
It brings the total number of cases in the country to 2,774,479.
Some 76,305 people in the UK have now died within a month of testing positive for Covid-19.
The figures for people who have died within 28 days of a positive test are accurate as of 9am on Monday in Scotland and Northern Ireland, and 5pm on Sunday in England and Wales.
There were also 3,075 people admitted to hospital with Covid-19 or newly diagnosed while there on December 28, the most recent data available.
It comes after Boris Johnson on Monday announced England would be placed into its third national lockdown, including the closure of schools.
A further 582 people who tested positive for coronavirus have died in hospital in England, bringing the total number of confirmed deaths reported in hospitals to 52,395, NHS England said on Tuesday.
Patients were aged between 29 and 103. All except 25, aged between 56 and 101, had known underlying health conditions.
The deaths were between November 5 and January 4, with the majority being on or after January 1.
There were 20 other deaths reported with no positive Covid-19 test result.
Last week saw daily Covid cases top 50,000 for the first time on December 29. They have not dropped below 50,023 since. Meanwhile, the following day saw 981 deaths reported – the most since April.