Deli Alli broke the deadlock when he slammed home from close range on 55 minutes before Harry Kane buried a 58th minute penalty to see Spurs to a convincing 2-0 win over their fierce rivals.
Spurs started well with Harry Kane forcing Petr Cech into a low early save from a wide left position after easing past Alex Oxlade-Chamberlain.
Deli Alli then should have headed his side into a 22nd minute lead as a Kane cross from the right deflected up off the boot of Laurent Koscielny, but Oxlade-Chamberlain did enough to put off his England teammate at the back post.
Spurs should have scored another goal when Eriksen blasted onto the top of the crossbar with the goal at his mercy after a Son Heung-min shot from the left deflected off of Koscielny and into his path.
Hugo Lloris then had to be alert to turn an Aaron Ramsey shot aimed at the bottom left-hand corner of his goal, around the post, while Arsenal started to impose themselves the longer the half wore on although without creating any clear-cut opportunities.
Alexis Sanchez curled an effort from outside the box wide of the target from a difficult angle, after Kieran Gibbs had fired a couple of ambitious efforts horribly wide.
But it was Spurs who ended the half the stronger of the two sides and had another good chance to score as Jan Vertonghen forced Cech to punch his powerful curling shot out for a corner, for the last real chance of an entertaining opening 45 minutes.
Spurs were again quickly out of the blocks at the start of the second half, with midfielder Victor Wanyama forcing a good fingertip save before Olivier Giroud failed to hit the target after Eric Dier's header looped into his path following a corner.
Spurs continued to look the more likely scorers and were duly rewarded on 55 minutes when Alli pounced on a loose ball in the box after Cech had saved an Eriksen effort from close range, having initially set up his teammate.
And Spurs were soon two goals in front as Kane buried a 58th minute penalty into the bottom left corner of the net after Gabriel had upended the England striker in the box.
Lloris easily denied Giroud on the hour mark before Sanchez faired no better with his effort moments later.
Gibbs got up well to make a block at the back post as Toby Alderweireld connected to a good Vertonghen cross from the left before Cech made an excellent save to deny a curling Vertonghen shot on 68 minutes.
Spurs were denied a second penalty after Son's attempted cross struck the underside of Sanchez's right arm, while Lloris needed his wits about him following a whipped-in Mesut Ozil cross that was directed at Danny Welbeck.
Cech was called into action yet again, with the game winding down, as he first kept out a Kane effort, before palming away an Alderweireld header.
Substitute Theo Walcott got a shot away on 86 minutes but it failed to trouble Lloris ahead of a huge cheer at the final whistle at White Hart Lane.
This was the last north London derby to be played at the famous stadium, with the result also meaning Spurs will finish above Arsenal for the first time in 22 years, while it also keeps them just four points behind league leaders Chelsea.