The individuals will now go into quarantine for a period of seven days as the English top flight looks to resume next month.
The Premier League has confirmed that there were six positive Covid-19 results returned from a total of 748 tests administered to players and club staff on Sunday and Monday.
The positive cases came from a total of three teams, with the league declining to identify the individuals who tested positive.
As part of the league’s effort to return to the pitch, it is administering tests on all players and staff with an eye toward a resumption of group training. On Monday, the Premier League announced that teams can return to training in “small groups” as of Tuesday after a meeting of shareholders approved the plans.