City followed up their Capital One Cup triumph over Sunderland in February by securing their second Premier League title in three years after a 2-0 win against West Ham last weekend.
Kolarov is targeting more success for City next season, and in particular, the Serb is eyeing an improvement in the Champions League, following City's elimination in the round of 16 last season.
"Of course it's possible for us to improve next season," he told Sky Sports News.
"We have a team who will to try and win the Premier league again and to do something much better in the Champions League.
"This season we have improved a lot. We've had more experience in the group and the new manager has also brought in his experience.
"At the end of the season we are very happy to win two trophies."
City are expected to strengthen the squad over the summer as they try and compete on all fronts next year and Kolarov is backing the club to make the right moves in the transfer window.
He said: "The bosses know what we have to do so they will do the right job."