Doncaster and Bassetlaw Teaching Hospitals NHS Foundation Trust said it reached the new milestone in the last few days.
More than 4,800 people have been successfully treated and allowed home, while more than 1,100 people have died from coronavirus in Doncaster.
A spokesman said: “Over the past few days we have cared for our 6,000th COVID-19 patient. A huge thank you to all Team DBTH for their efforts.”