The food hall was shut yesterday after the cases were confirmed with two members of staff.
It is currently closed while a deep clean takes place. A Peterborough City Council spokeswoman said it was not known how long it would remain closed for.
The rest of the market remains open as normal, with customers being told to stick to social distancing measures when visiting.
1. Deep clean starts at Market Food Hall
The City Market at Cattle Market Road - open for business EMN-200707-095745009 Photo: Midlands
2. Deep clean starts at Market Food Hall
The City Market at Cattle Market Road - open for business EMN-200707-095757009 Photo: Midlands
3. Deep clean starts at Market Food Hall
The City Market at Cattle Market Road - open for business EMN-200707-095809009 Photo: Midlands
4. Deep clean starts at Market Food Hall
The City Market at Cattle Market Road - open for business EMN-200707-095821009 Photo: Midlands