The goalkeeper had to be at his best in the Bianconeri goal throughout the contest at San Siro, making several fine stops to deny the likes of Kaka and Riccardo Montolivo.
The reigning champions took the lead against the run of play courtesy of Fernando Llorente late in the first half, before Carlos Tevez settled matters with a stunning strike midway through the second period.
The result extends Juve's unbeaten league run to 18 games and leaves the team well on course for a third straight title as closest challenger Roma now sits 11 points adrift in second.
Veteran Buffon believes the visitors were somewhat fortunate to leave the Rossoneri with nothing to show for their efforts, but was delighted with the resilience shown by Antonio Conte's men.
"There's a lot of credit to go round for the way the team was able to suffer under pressure, but there was also some good luck too," the 36-year-old told Sky Sport Italia.
"If you come to San Siro and face Milan, then there is never a favorite, as neither side wants to give in. It's the first time we've won here in the Conte era.
"It is also very important that we notched up a fourth consecutive clean sheet. My defenders are the best and the forwards are also giving them a big hand."
Buffon went on to insist he and his teammates are not taking anything for granted in their march to another Scudetto, despite the lengthy lead in Serie A.
"These are three very important points, but we've got to be very careful," he added. "It's not over yet and Roma are a very strong side who have no other competitions to take part in, which is an important factor."
- Sports & Recreation
- Fernando Llorente
- Carlos Tevez
- San Siro