The Citizens put in a superb performance to defeat their local rivals at the Etihad Stadium thanks to two Sergio Aguero goals and efforts from Yaya Toure and Samir Nasri.
Wayne Rooney netted a late consolation goal for the visitors, but that barely took the gloss off of a fine afternoon for City.
With no side having put together a solid run of results in the opening weeks of the new season, some have suggested that Manuel Pellegrini’s men could start a strong push to reclaim the title.
However, Kompany – who was thrilled with the result – refused to get carried away with the win.
“I think you make a statement over the whole season. It’s too early to say if it’s a defining game,” he told Sky Sports.
“But it would be silly to give away those very precious three points. We need to win the next games, and then we’ll enjoy what we’ve done today.
“As I said, when we won 6-1 at Old Trafford, I said we need to stay humble. It’s only three points, but it gives us all the confidence and allows the fans to celebrate for a few days.”
Aguero opened the scoring with a fine volley after 16 minutes, before Toure doubled the lead in stoppage time at the end of the first half.
The Argentine them struck again shortly after the restart, with Nasri adding the fourth just minutes later.
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