Thousands of supporters filled Manchester's Albert Square and then lined surrounding streets as the team began an open-top bus tour from outside the town hall.
Fans relived City's season of glory, which was completed on Sunday as the side beat West Ham to clinch the title, thanks to big-screen replays before players addressed the crowd and then boarded the bus.
Kompany, who scored the second goal in the 2-0 win over the Hammers, said: "This is a team that is growing and we have done it in style.
"Everyone keeps saying, 'They have won the league and they have done it in style'. That is what I like about it. That is what I want us to do again in future, keep winning in style."