First half goals from Dele Alli and Harry Kane put Spurs in the box seat, before Son Heung-min added a third to take the game away from Maurizio Sarri's side.
Frenchman Olivier Giroud pulled one back for the visitors but it was a mere consolation on a disappointing evening for the away side.
Despite Tottenham’s domination, Chelsea felt they could have had two penalties in the first half, with Hazard on the end of some risky challenges.
The Belgian believes the first incident, where he went to ground after a challenge from Juan Foyth, was a definitely penalty, but says his side can have no excuses after “a bad game”.
“I think the first one is a penalty,’ Hazard told Chelsea’s official website.
“It is the decision of the referee – sometimes right, sometimes not – but I can’t blame him, it is part of the game and I don’t want to find an excuse, I think we played a bad game.
“It was not just about the penalty, I think the whole team did badly. They have top players and are a good team, which we saw last year at Stamford Bridge. We were a bit down, but we need to get back on the pitch, train hard and win games again.”
The winger, who continues to be linked with a move to Real Madrid, believes the Blues paid the price for a slow start against Mauricio Pochettino’s side.
It’s a result that has seen Spurs leapfrog Chelsea into third place in the Premier League table, making this their best start to a Premier League season since 2011-12.
“We didn’t play a good game and everybody could see that,” Hazard added.
“We started the game very badly and conceded two goals early. Against this kind of team, when you are 2-0 down, it is hard to come back. We tried but it was not enough.
“It is hard to start a game after 15 minutes when we have conceded two goals. We tried, but then we pushed and conceded another one at the start of the second half. We had a bad game and we just need to forget about this and move forward. We need to analyse everything and then maybe talk together, and try to win again.”