After a positive performance from Albion that showed little reward, Hazard killed off the contest by converting from just outside the box 19 minutes from time.
Relive how the 90 minutes of action unfolded with Sports Mole's live text coverage below.
STARTING XI: Courtois; Azpilicueta, Christensen, Rudiger; Moses, Kante, Fabregas, Zappacosta; Pedro, Giroud, Hazard
SUBS: Caballero, Cahill, Ampadu, Emerson, Drinkwater, Willian, Morata
STARTING XI: Foster; Gibbs, Evans, Hegazi, Dawson; Brunt, Barry, Krychowiak, Phillips; Sturridge, Rondon
SUBS: Myhill, Nyom, Yacob, McClean, Burke, Rodriguez, McAuley
Antonio Conte: "We have to try to stop this bad run and get three points against West Brom. It won't be easy, the confidence is not high but we have to trust in our work and football. I am not thinking for only one moment the possibility of going away from this club. My commitment and the players are totally for this club."
Alan Pardew: "We are obviously under pressure because we are bottom of the league. I think you are going to see a lot of fight on the pitch in terms of two teams desperate to get points and turn a little bit of a corner for Chelsea and us to get a result that might be the boost that we need. I know Chelsea very well."
CHELSEA SUBS: Caballero, Cahill, Ampadu, Emerson, Drinkwater, Willian, Morata
WEST BROMWICH ALBION SUBS: Myhill, Nyom, Yacob, McClean, Burke, McAuley