Wednesday night's game at the Parc des Princes was expected to attract more than 40,000 people to the western outskirts of Paris.
Supporters at the match seemed unlikely following a meeting on Sunday night between President Emmanuel Macron and top health officials at the Elysée palace.
Health minister Olivier Véran emerged from the session to declare that gatherings of more than 1,000 people would be banned throughout France and the closure of schools in the country's worst hit regions.
Order
"Coronavirus: following Sunday's emergency cabinet meeting, the Paris préfecture has decided that #PSGBVB will go ahead behind closed doors", the préfecture said on social media.
#Coronavirus | En application des mesures annoncées en conseil de défense hier soir, le préfet de Police a décidé que le match #PSGBVB se déroulera à huis clos. pic.twitter.com/arwKhKE81f
Préfecture de Police (@prefpolice) March 9, 2020
The state of North Rhine Westphalia, where Dortmund is situated, has been the worst hit in Germany, with nearly 500 confirmed infections.
"We were prepared for this eventuality and have made the appropriate preparations," Dortmund said in a statement on Monday.
Dortmund go into the return leg leading 2-1. PSG have not reached the last eight of European club football's most prestigious competition since 2016.
The French club's Qatari owners have poured nearly one billion euros into acquiring talent such as Angel di Maria, Neymar and Kylian Mbappé to provide the ultimate triumph.
"PSG takes note of the decision of the préfecture's decision," the club said in a statement on Monday. "Fans will be updated about refunds in due course."
France is the second-worst affected European country after Italy with 1,126 cases detected and 19 deaths.
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