Aaround one in 70 people in private households in England had Covid-19 in the week of October 2, up from one in 85 the week before, according to the latest estimates.
One in 70 people is equivalent to about 786,300 people.
At the height of the second wave in early January, about one in 50 people had coronavirus.
The percentage of people testing positive for Covid-19 is estimated to have increased in all parts of England except the East of England where the trend is uncertain, the Office for National Statistics said.
Yorkshire and the Humber and East Midlands regions had the highest proportion of people of any region likely to test positive for the coronavirus in the week to October 2, with around one in 55 people.
London and eastern England had the lowest at around one in 90.
In Wales, it is estimated that around one in 55 people had Covid-19 in the week of October 2, unchanged from the previous week and still the highest since the week of December 23, 2020.
In Northern Ireland, the latest estimate is one in 130, down from one in 65 the week before.
For Scotland, the ONS estimates that around one in 60 people had Covid-19 in the week leading up to October 2, compared to one in 55 the week before.
All figures relate to people living in private households.
When modeling the level of Covid-19 infections among different age groups in England, the ONS said rates increased for students in school years 7 to 11, those aged 35 to 49 and those aged 70 and over.
The percentage of positive tests decreased for 12 to 24 year olds, while the trend was uncertain for 2 to 6 year olds, 25 to 34 year olds and 50 to 69 year olds.
About one in 15 children in school years 7 to 11 is estimated to have had Covid-19 in the week to October 2 – the highest positivity rate for any age group.