Eden Hazard opened the scoring for Chelsea early on.
And though Manchester City hit back through Sergio Aguero, Hazard hit another to ensure the Blues stay seven points clear at the summit.
City, despite losing, dominated the contest and were unlucky not to salvage a point.
And Guardiola has praised his players and insisted he wants a lengthy stay at the Etihad Stadium.
Chelsea player ratings against Man City
Wed, April 5, 2017
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Thibaut Courtois – 5
"It's an honour to have the amazing players I have," he said.
"We come here to Stamford Bridge and play the way we have, with huge personality. I'm a lucky guy to manage these guys.
"It's encouraging for the future. I'm optimistic. It's been like this all season but in the boxes we are not good enough.
"We created enough to score goals. It's our problem.
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"But my players play in one way and that's why I want to be here – to help Man City for years.
Eden Hazard inspired Chelsea's win over Manchester City
Pep Guardiola wants to stay at Manchester City "for many years to come"
"The people who are watching us must be proud of our fans. We did everything."
Guardiola also praised Vincent Kompany and Fabien Delph, who returned to the side after overcoming seperate injuries.
"Congrats to Fabian Delph. He showed me how wrong I was not to put him on the field. He never complains," Guardiola added.
"Vincent Kompany is so aggressive and it's not easy to come back from injury. I'm so happy for him.