Pep Guardiola’s team won the trophy in 2017/18 season and now in 2018/19.
Sterling decisive spot kick was all City needed to lift the trophy after Jorginho and Luiz missed from the spot for the Blues.
The match ended 0-0 after extra time despite an eventful extra 30 minutes and goal scoring opportunities for both teams.
City will be looking to face West Ham next as they attempt to defend their Premier League title.
While Chelsea and Sarri after putting in so much effort failed to live up to expectations as they will battle Spurs next.