Hazard's comments come after Chelsea opened up a seven-point lead on the standings following their 2-1 win over Stoke City on Saturday.
Hazard opened the scoring during that match with a penalty in the 39th minute before Stoke midfielder Charlie Adam stunned the Blues just before half-time by nailing an incredible 65-yard strike from his own half.
However, Loic Remy sealed the deal for Chelsea as he slotted home the winner in the 62nd minute.
With eight games left in the season, Hazard is confident that Chelsea will lift their first Premier League title in five years.
"We are confident. We are first in the league and we take game after game," he told Chelsea TV. "We have the title in our hands. We want to bring the trophy to Stamford Bridge.''
However, Hazard admitted that Chelsea's victory over Stoke could have been a lot more convincing.
"In the first half we created a lot of chances,'' he said. "We played beautiful football and okay, we scored just one goal, but we deserved to score three or four. The most important thing was the victory and we did very well till the end.''
Hazard has also backed Remy to keep scoring after the 28-year-old netted in Chelsea's second successive winner.
"He can score every time when he's on the pitch," Hazard said. "This guy deserves to score a lot of goals."