Estimates from the ONS survey suggest that just over 950,000 people in the UK would have tested positive for coronavirus during the week of 3 September, up from about 890,000 people the week before.
This is 1.4% of the population – or one in 70 people – compared to one in 75 a week earlier.
Around one in 70 people in England would have had Covid, unchanged from the previous two weeks, according to the new estimates from the Office for National Statistics (ONS).
At the peak of the second wave in early January, around one in 50 people in England were estimated to have coronavirus.
However, infection rates were up two-thirds in both Wales and Scotland.
In Wales, rates are estimated at one in 65 – up from one in 110 the previous week and the highest level since the winter peak.
In Scotland, the figure is one in 45 people, up from one in 75 in the previous week and the highest level since estimates began in October last year.
In Northern Ireland, the latest estimate is one in 60, up from one in 65.
The ONS data is based on swab tests in the community.