Infantino, who was previously UEFA’s general secretary, was elected FIFA boss in February 2016. He was re-elected for another term in June last year.
"FIFA president Gianni Infantino has received confirmation today that he has tested positive for coronavirus," a statement said.
"The FIFA president, who has reported mild symptoms, has immediately placed himself in self-isolation and will remain in quarantine at least for 10 days.
"All people who came into contact with the FIFA president during the last few days have been informed accordingly and they are being requested to take the necessary steps.
"FIFA sincerely wishes president Infantino a speedy recovery."
Infantino is the latest high-profile football personality to fall foul of covid-19 in recent weeks.
The likes of five-time Ballon d’or winner, Cristiano Ronaldo, Zlatan Ibrahimovic, Thiago Alcantara, Ronaldinho, Emre Can, Serge Gnabry, Emre Can, Matteo Guendouzi and Ilkay Gundogan have all tested positive in the last one month.
Ronaldo, who tested positive while on international duty with Portugal earlier this month, is still waiting to be cleared to feature against Lionel Messi and Barcelona in the UEFA Champions League on Wednesday.