Central Bedfordshire has 1,314 cases and Luton has 1,676 cases.
Meanwhile, Buckinghamshire has 1,814 cases, Hertfordshire has 4,463 and Milton Keynes has 922 cases.
Previous data shared by Public Health England relied solely on Pillar 1 (testing from Public Health England and NHS Hospital Trusts), but as of Thursday, July 2, the information includes Pillar 2 (non-clinical and commercial testing).
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It has seen a radical overhaul of how coronavirus infection data is presented across the country, with hundreds of new cases emerging in individual authorities.
Nationally, the number of coronavirus cases now stands at 318,484.
Daily reported COVID deaths are now measured across the UK as deaths that occurred within 28 days of the first laboratory-confirmed positive COVID test.
No data has been revealed by the Government as yet.
The figures come from the Government website which is available for the public to view here.