The rate in the city is now 39.6 cases per 100,000 people (as of May 6, the latest data available) - the rate a month before (on April 6) was 70.2.
There were 80 cases in the city in the past week - down 20 from the previous week.
Of the 22 neighbourhoods in the city, nine recorded two or fewer cases in the past seven days - meaning case rate data is not published by the government. A further four areas recorded just three cases.
Of the remaining areas, two - West Town & Woodston and Fengate & Parnwell - recorded nine cases, the highest number in the city.
The last COVID related death (within 28 days of a positive test) in Peterborough was recorded on April 16. The previous death was on March 25.
The current UK case rate is 21.3 per 100,000 people. Peterborough has the 30th highest rate in the country.
The Government data (up to May 2) shows that no people had been admitted to hospitals run by North West Anglia NHS Foundation Trust (Peterborough City, Hinchingbrooke and Stamford & Rutland) with COVID for three days - and only one person in eight days.
On May 4, there were 12 people in the hospitals with COVID - the lowest number since October.
Only one patient was in mechanical a ventilation bed - the last time the number was at zero was in September.