Chelsea took the lead in the 13th minute when Marcos Alonso headed past Petr Cech from close range.
Hazard then doubled the home side’s advantage in the 53rd minute when he embarked on a superb solo run and fired home from close range.
Substitute Cesc Fabregas then added a third late on when he lobbed Petr Cech after a poor pass out from the Arsenal goalkeeper.
Olivier Giroud scored a late consolation but it was too little too late from the Gunners.
“It’s always good to score beautiful goals against a massive team,” Hazard told Sky Sports after the game.
“We scored three beautiful goals and we deserved to win.
“I know I need to score more goals but today I did, so I’m happy.”
He added: “We created a lot of chances but in the counter-attack we can do better.”
The result lifted Chelsea 12 points clear at the top of the Premier League table and underlined their status as the heavy favourites to win the title this season under Antonio Conte.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news