Mario Mandzukic, Paulo Dybala, with a stunning free kick, and Alex Sandro shared the goals as the Turin side also won a league and cup double for the third time in a row and stayed on course for a treble.
Atalanta clinched fifth place and a spot in the Europa League group stage by winning 1-0 at Empoli and AC Milan made sure of sixth place, and a place in the Europa League qualifiers, by beating Bologna 3-0.
Juve's win over their relegation-threatened opponents, took them on to 88 points from 37 games, four clear of AS Roma who won 5-3 at Chievo on Saturday. Napoli are a further point behind in third, the Champions League playoff spot.
“The sixth consecutive title is something extremely significant,” said Juve's 39-year-old goalkeeper Gianluigi Buffon, who has won eight Serie A titles at the club.“We have written indelible pages in the history of football."
Crotone had won five and drawn two of their last seven games as they made a late bid to escape the drop but were facing a Juventus side who have dropped only two points at home all season.
The visitors were able to resist for only 12 minutes until Mandzukic got in front of his marker to turn in Juan Cuadrado's low cross at the far post.
Crotone are 18th in the 20-team table but remained only one point behind Empoli, the team immediately above the drop zone.
Alejandro Gomez gave Atalanta an early lead at Empoli who were unable to find an equaliser and were foiled by an amazing double clearance off the line by Andrea Masiello just before the hour.
Gerard Deulofeu volleyed in from Matias Fernandez's pass, Keisuke Honda curled in a free kick and Gianluca Lapadula completed the scoring in stoppage time.
Genoa, who have had a dreadful second half of the season, made sure of survival when they beat Torino 2-1 with goals from Luca Rigoni and Giovanni Simeone, the son of Atletico Madrid coach Diego.