The North East saw two more deaths registered compared to the previous week while all other regions reported a fall.
ONS data does not provide further, more localised information on where the deaths occurred.
But in Sunderland and South Tyneside, no hospital deaths have been recorded since June 21. In Hartlepool, the last recorded hospital death was on June 27.
GP patient survey 2022: 21 South Tyneside surgeries rated by patients from worst to best
South Shields man left devastated by fibromyalgia and arthritis sets up new support group to help men talk about their health
South Tyneside mum who lost son to suicide sets up support group to help others in his memory
More deaths in South Tyneside
'Thousands' may have long Covid in South Tyne
There were a total of 8,979 deaths registered in England and Wales in the week to June 26, 314 fewer than the five-year average of 9,293. It’s the second week in a row that deaths have been below the five-year average.
The number of deaths in care homes and hospitals in the week to June 26 was also below the five-year average (103 and 815 deaths lower respectively), while the number of deaths in private homes was 745 higher.
Of those deaths registered in the week to June 26, 606 mentioned 'novel coronavirus' on the death certificate – the lowest number of deaths involving Covid-19 since the week ending March 27.
The regions where the number of registered deaths was above the five-year average were north-west England (7.4% above), the East Midlands (0.6% above) and north-east England (0.6% above).
The six regions with fewer deaths were south-west England (0.2% below), Yorkshire & the Humber (0.4% below), the West Midlands (2.4% below), south-east England (9.5% below), London (9.8% below) and eastern England (12.6% below).