It is the Turin giants' 30th official title in Italy's top flight and third in succession under coach Antonio Conte.
Juventus remain on course to become the first team in Serie A to finish with at least 100 points.
After hosting Atalanta on Monday, Juve travel to Roma next week and close out the season at home to Cagliari.
Juventus had congregated at a hotel in Turin yesterday afternoon to watch Roma's upset on television and immediately after the final whistle the celebrations began.
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Juventus were stripped of two Serie A titles, which they won in 2005 and 2006, following their demotion to Serie B for their role in the Calciopoli match-fixing scandal.
"After the five-title winning streak, this is a feat that no other great Juve sides had achieved," Juve coach Antonio Conte said.
Club CEO Beppe Marotta heaped praise on the 44-year-old coach: "We said and knew that it would be a difficult season, but we were able to count on a superb coach and team who had great hunger and motivation to achieve this third title.