The man is currently in detention over drug charges in the Central Special Correctional Institution.
He worked at two branches of the restaurant from August 12-25.
The governor held an urgent meeting with the province's contagion disease control centre officials on Friday as the new Covid-19 patient previously lived in a condo in Bangkok’s Bang Mod area and worked as a DJ in the Rama III and Rama V areas before being caught.
"To contain the spread of Covid-19, which can cost people their health, lives and properties, we have ordered closure of the restaurant from September 4 to 6," he said.
The meeting also ordered employees in the restaurant to undergo 14 days state quarantine, while ordering employees' families and relatives to undergo self-quarantine in their houses.
"Customers who used service at the restaurant from August 20 must monitor their symptoms. If they have any doubts, they must take a Covid-19 test at Bang Kruai 2 Hospital immediately," he added.
Related stories: Condo where Covid-19 patient lived tightens screening National
Authorities on high alert after Bangkok prison inmate tests positive for Covid-19