The Gunners took an early lead through Tomas Rosicky but had to show grit to repel a Tottenham side who dominated large portions of the highly charged Premier League clash
The Arsenal manager was quick to pay tribute to his two centre-halves following the win at White Hart Lane as Per Mertesacker and Laurent Koscielny repelled everything Spurs threw at them after Tomas Rosicky gave Wenger's men something to cling to with his early top-corner strike.
Tottenham largely dominated the game after Rosicky's decisive strike, with Emmanuel Adebayor in particular looking sharp against his old club, but the home side were left to rue wasteful finishing.
Wenger is aware of the significance of the result, with fellow Premier League title rivals Liverpool winning 3-0 at Manchester United earlier in the day, as Arsenal moved to within four points of leaders Chelsea with a game in hand.
"It is a huge result," Wenger said.
"We were under pressure to win before the game because of course it was a very important game.
"Our early goal influenced maybe too much the rest of the game, we missed a second goal and after that we wanted to protect the lead and sometimes we were under pressure.
"Tottenham played well we must say. For me, they were absolutely up for it and we needed some special resilience to get away with it and as long as we didn't score the second goal of course it was a very tight game, so for us it is a massive three points."
Arsenal's centre-back partnership came in for special praise, giving Wenger's team the backbone they have perhaps lacked in recent years.
The Frenchman added: "They were exceptional, yes.
"And when Vermaelen came on we finished with the three and Tottenham couldn't create any chances anymore."