Hazard curled into the bottom corner in the second minute of added-time to deny Wanderers a memorable victory and ensure Chelsea remain unbeaten in the Premier League since their 6-0 thrashing at Manchester City last month.
Maurizio Sarri’s future at the club had been brought into question following that defeat, but this point keeps the Blues well in contention for a top four place.
Raul Jimenez finished off a swift counter-attacking move to put Wanderers ahead with their only shot on target nine minutes into the second half.
That looked to be enough, particularly when substitute Willian saw his curling effort well saved by Rui Patricio late on, but Hazard struck to salvage a draw with his 16th goal of the season.
Despite only managing two attempts on goal all game, Wolves may feel aggrieved at only securing a point having defended diligently, restricting Chelsea to half-chances and efforts from distance.
Chelsea only had one shot on target during the first half, an effort from Gonzalo Higuain from a tight angle that was comfortably pushed behind by Patricio.
Maurizio Sarri’s side improved after going behind, with Pedro having a shot tipped over before Higuain failed to convert when the ball flashed across the box following a corner.
It was hard to see Chelsea scoring as the game entered added time but Hazard showed neat skill to turn away from Ruben Neves and finally beat Patricio from 18 yards.
Chelsea were looking to maintain momentum after back-to-back wins in the Premier League had eased some of the pressure that had been growing on Sarri after his side’s thrashing at Etihad Stadium last month.
Another loss here may well have put his position under scrutiny once more, but Hazard’s late intervention makes it three league games without defeat and seven points from nine since that defeat to the champions, though they have exited the FA Cup and lost the Carabao Cup final on penalties during that timeframe.
After making a number of changes for Thursday’s Europa League last-16 first leg win over Dynamo Kiev, Sarri restored many of his key players to the starting line-up, including Hazard and N’Golo Kante.
However, they were subdued for much of the game, particularly during the first half where they managed just one shot on target.
Chelsea enjoyed 75% possession but precious little of it was in dangerous areas, with Wolves content to sit back and look to hit on the counter.
Half-hearted penalty claims were turned down when Hazard’s corner hit Jimenez on the arm as he attempted to clear.
Romain Saiss then had to be alert to clear the ball away from Hazard after Willy Boly’s headed clearance inadvertently landed in his path.
Jimenez’s goal after the break jolted Chelsea into action, with Pedro and Higuain going close, but it took a dramatic intervention from top-scorer Hazard to finally breach the Wolves backline.
The point was not enough to move Chelsea back into the Champions League qualification places, had they won they would have moved fourth, two points behind Tottenham and still with a game in hand.
Instead, they remain sixth, locked in a tight battle with Spurs, Arsenal and Manchester United for the final two spots in the top four. They do, though, also have the chance to qualify for next season’s Champions League by winning the Europa League and take a 3-0 lead into Thursday’s second leg of their last 16 clash with Dynamo Kiev.
