Staffordshire Moorlands is down to 0 cases from 6.1 the week before, while Malvern Hills is down 5.1 to 0.
The rate is expressed as the number of new cases per 100,000 inhabitants.
Data for the last three days (July 20-22) have been excluded as they are incomplete and subject to revision.
These are the 18 local authorities with a rate of 0.0.
Based on figures from Public Health England, the list shows the rate of new cases in the seven days leading up to July 19, followed by the equivalent figure for the previous seven days through July 12.
This is good news for both regions, with Birmingham recording a rise last week, along with Wolverhampton and other parts of the Black Country.
Staffordshire and Malvern Hills are two areas in the wider West Midlands region that have experienced falls.
The rate is based on tests done in laboratories and in the wider community, so even though it is 0.0, it is possible that some residents are infected with the new strain of coronavirus, but they did not. not been tested or show no symptoms.
Barrow-in-Furness 0.0, 0.0
North Devon 0,0, 0,0
West Devon 0,0, 0,0
Ryedale 0,0, 0,0
Average Suffolk 0.0, 0.0
Isle of Wight 0.0, 0.0
Scarborough 0,0, 0,0
King’s Lynn et West Norfolk 0.0, 0.7
Great Yarmouth 0.0, 1.0
Hart 0,0, 1,0
Mole Valley 0.0, 1.1
Test Valley 0.0, 2.4
Sedgemoor 0,0, 2,4
Adur 0.0, 3.1
Torridge 0,0, 4,4
Malvern Hills 0.0, 5.1
Staffordshire Moorlands 0.0, 6.1
Rother 0,0, 6,3