There were three mountains classifications in the 1956 Giro d'Italia, one for the Dolomites, Apennines, and one for the highest mountain in the race, the Passo dello Stelvio. The rider that was the first over the Stelvio was Ignis' Aurelio Del Rio. Although no jersey was awarded, there was also one classification for the teams, in which the teams were awarded points for their rider's performance during the stages.