444 new cases of the disease were recorded in the seven days to March 11 – the equivalent of 170.9 cases per 100,000 people.
This is up from 148.6 per 100,000 in the seven days to March 4.
The figures, for the seven days to March 11, are based on tests carried out in laboratories and in the wider community.
Of the 315 local areas in England, 104 (33 per cent) have seen a rise in case rates, 209 (66 per cent) have seen a fall and two are unchanged.
Barnsley has the next highest rates in Yorkshire with 147.4 cases per 100,000.
Bradford has 143.8, Wakefield has 130.9, and Rotherham has 125.1.
Scarborough has Yorkshire's lowest rates with 27.6 cases per 100,000 people.
Craven also has low rates of 38.5 per 100,000.
England's lowest rates are in Torridge near Exeter, which has 2.9 cases per 100,000 people.
It comes as official data up to March 14 shows that of the 26,063,501 jabs of all types given in the UK so far, 24,453,221 were first doses - a rise of 257,010 on the previous day.
Some 1,610,280 were second doses, an increase of 25,371.
A further 64 people had died within 28 days of testing positive for Covid-19 as of Monday, bringing the UK total to 125,580.
But separate figures published by the UK's statistics agencies for deaths where Covid-19 has been mentioned on the death certificate, together with additional data on deaths that have occurred in recent days, show there have now been 147,000 deaths involving Covid-19 in the UK.
The Government also said that, as of 9am on Monday, there had been a further 5,089 lab-confirmed cases in the UK.
As of Monday the total number of reported Covid-19 tests carried out in the UK since the start of the pandemic has passed 100 million.