West Ham boss David Moyes was left delighted after victory at Tottenham.
Cristian Romero had Spurs ahead on 11 minutes, but West Ham fought back after halftime as Jarrod Bowen and James Ward-Prowse struck.
Moyes said: "It was a great win.
"For the first time this season we've been able to celebrate something with our supporters. For them to come away and to see us win was great. We were desperate to win [for them] and getting this win is huge for us.
"For the supporters to come away and to see us win was great. We were desperate to win [for them] and getting this win is huge for us.
"For all the things Tottenham did, we conceded from a corner kick.
"In the main, we've been really good from defending from set-pieces. I was really disappointed with that aspect and with how we performed in the first half.
"We're trying to improve and we're trying to be better on the ball. We've got two or three players that are great on the ball like Bowen, Kudus and Paquet. We didn't do it so well in the first half.
"We were much brighter in the second half.
"We were trying to make sure we got a goal back. We got a couple of lucky bounces. Jarrod got the first goal and Prowsey got the second, but we earned them.
"James was up to get on the second one. It's off the post, no one reacts and he's there to put it in again, and it was even better that it was in front of our own fans.
"I watched the Aston Villa Tottenham game and Villa could hardly get the ball to play.
"It was no different for us and we didn't expect to have much of the ball tonight. We set up to be hard to beat. Sometimes you have to have a bit go your way.
"I think, overall, it was a big moment for our supporters.
"They want to see us challenging the big teams and we want to do that as well. At the moment, I have to say, Tottenham are as good as any team in the Premier League."