The Serie A club announced they will implement the necessary isolation procedures.
Individuals who have come into contact with the 25-year-old will also be checked, according to the Italian giants.
Rugani becomes the first star from the Italian top flight to have contracted the virus.
Juventus added that Rugani, who was an unused substitute during the 2-0 victory against Inter Milan last weekend, is 'currently asymptomatic'.
Following Wednesday's shock news, Inter themselves confirmed they have suspended all competitive activities until further notice.
The impact of the news remains unclear, although it is likely to hold substantial consequences for both Serie A and the Champions League.
Football Italia report that the Old Lady held a training session on Wednesday, and according to further reports, both Juventus and Inter are now in quarantine following the news.
UEFA are now reportedly set to postpone Juventus' Champions League clash with Lyon in Turin.
Cristiano Ronaldo is currently spending time in Madeira to avoid coronavirus after the suspension of the top division, with the talisman staying away from training at the club's facilities in Turin to avoid any risk of infection.
The announcement comes shortly after team-mate Federico Bernardeschi revealed he would self-isolate in the Juventus hotel in order to protect his family.
Rugani is the second professional football to test positive, with Hannover 96 defender Timo Hubers currently in quarantine.
All sport in the country remains suspended until at least April 3 as the Italian authorities attempt to prevent the spread of coronavirus.
The government has moved to restrict all movement other than for work and emergency services.
The Italian football federation (FIGC) admitted on Tuesday that the Serie A campaign might not finish due to the outbreak.
It had also been confirmed earlier on Wednesday that Inter Milan's home Europa League clash with Getafe, and Roma's trip to Sevilla on Thursday had both been postponed.
