Another 28,773 Covid-19 cases and 37 deaths have been reported in the UK within 28 days of a positive test.
This compares to 27,334 and nine fatalities yesterday, and 20,479 and 23 deaths last Tuesday.
Government figures show the 37 who lost their lives is the highest since April 23, when 40 were reported.
The UK pandemic death toll now stands at 128,268 as of 9am on Tuesday.
Separate figures published by the Office for National Statistics show there have been 153,000 deaths registered in the UK where Covid-19 was mentioned on the death certificate.
Up to July 5, 79,302,857 Covid vaccines were so far given in the UK.
Figures show 45,428,681 were first doses – a rise of 76,962 on the previous day.
Some 33,874,176 were second doses, an increase of 147,814.
Health Secretary Sajid Javid has announced from August 16 people who are double-jabbed will no longer need to self-isolate if they come into contact with someone who tested positive for Covid.
Education Secretary Gavin Williamson said contact tracing will be taken over by NHS Test and Trace.
Children who are notified as being a contact of someone who has tested positive will be advised to take a PCR test.
Mr Williamson added that secondary and college pupils will be required to take two tests on-site at the start of the autumn term and continue to take two tests a week at home until the end of September, when the policy will be reviewed.
Mr Javid also confirmed the UK could see as many as 100,000 cases per day, as the government aims towards a mass ease of government restrictions on 19 July - including removing the legal requirement to wear masks.
He said this is because of the vaccine which he describes as a “wall of defence”.