In what is traditionally a clash between title rivals, the contest at Juventus Stadium highlighted the current gulf between the two sides, as Massimiliano Allegri completed a league double over his former employers in a dominant display.
The reigning champions, who are now 39 unbeaten at home in the league, edged ahead in the 14th minute through Carlos Tevez, despite calls for the Argentina international to be given offside.
Luca Antonelli, one of two Milan debutants alongside Gabriel Paletta, levelled just before the half-hour mark, though they were level for only a few minutes, with Leonardo Bonucci restoring Juve's lead.
Milan produced a slight improvement after the break, though Juve also took things up a notch and opened up a two-goal deficit with 25 minutes to go through Alvaro Morata, who finally appears to have dislodged fellow Spaniard Fernando Llorente.
Filippo Inzaghi, who reportedly endured a fractious relationship with Allegri in their time together at Milan, saw his side's late efforts count for nothing, while Juve moved well clear of second-placed Roma ahead of their trip to Calgiari on Sunday.
