It's one of the biggest derby matches in football and it was Tottenham who were triumphant, with Spurs youngster Danny Rose scoring first on 10 minutes with a 30 yard volley.
It was his first ever Premier League goal for Spurs, can you tell he's pleased...?!
Gareth Bale got Tottenham's second goal just after half-time, slotting the ball past Arsenal keeper Manuel Almunia.
The Welshman wheeled away to celebrate in front of the jubilant Spurs fans.
It was a nervy finish though as Nicklas Bendtner pulled one back for Arsenal to make it 2-1.
Arsenal boss Arsene Wenger tried to raise his team in the final stages as they looked for an equalising goal.
But after holding on and snatching the points it was Tottenham who were celebrating at the final whistle, keeping alive their hopes of finishing fourth in the league.