The game at the Emirates Stadium ended 3-1 in favor of the wards of Josep Guardiola.
As part of the winners, goals were scored by Kevin De Bruyne (24th minute), Jack Grealish (72nd), Erling Haaland (82nd).
Bukayo Saka scored for Arsenal (42nd, penalty).
Arsenal are top of the Premier League table with 51 points.
Manchester City are second with the same number of points.
Previously, Gakpo's goal helped Liverpool defeat Everton in the Premier League match.