The meeting, which took place at the Emirates stadium in London, ended with a score of 3: 1 in favor of the hosts.
Emil Smith-Rowe, Pierre-Emerick Aubameyang and Bukayo Saka scored for Arsenal.
The only goal was scored by Son Heung Min.
Arsenal won their third consecutive victory, scored nine points and moved up to tenth in the Premier League standings.
Tottenham lost their third match in a row and dropped to 11th place.
Previously, Liverpool drew with Brentford in the Premier League match.