City Football Group chief executive Ferran Soriano said: "We joined forces with Puma with the ambition to challenge ourselves and go beyond the expectations. We have achieved this and more over the last six seasons.
"Puma have seamlessly integrated into our organisation, and we have enjoyed many historic moments together, engaging fans globally."
Puma chief executive Arthur Hoeld added: "Puma's partnership with Manchester City has been a great success both on and off the pitch.
"Trophies, a perfect stage for our performance products and commercial success were exceptional."