The celebration followed their 2-0 home win over Torino on Sunday, which came six days after Inter sealed the title in memorable fashion with a derby victory over city rival AC Milan.
Inter players threw coach Simone Inzaghi into the air on the San Siro pitch to get the celebration rolling.
Hakan Calhanoglu scored two second-half goals to extend Inter's advantage to 19 points over second-place Milan, who were held to a 0-0 draw by third-placed Juventus on Saturday.
Elsewhere, Tammy Abraham scored his first goal after a long injury lay-off to earn fifth-place Roma a 2-2 draw at defending champions Napoli.
Still, Roma had their advantage over sixth-place Atalanta reduced to two points after Atalanta beat Empoli 2-0.
Also, fourth-place Bologna required a late goal from Alexis Saelemaekers to secure a 1-1 draw with relegation-threatened Udinese.
Paulo Dybala put Roma ahead with a penalty near the hour mark and Mathias Olivera equalised for Napoli with a deflected shot.
Then Victor Osimhen converted a penalty for Napoli following a foul on Khvicha Kvaratskhelia before Abraham found the target with a header.
Abraham's goal was initially ruled offside but then awarded following a VAR review.
Roma defender Evan Ndicka assisted on Abraham's goal by heading on a corner kick from Dybala. Earlier this month, Ndicka suffered a collapsed left lung in a game against Udinese.
Mario Pasalic and Ademola Lookman scored for Atalanta.
