The goal was his 70th for Chelsea in the Premier League.
He overtook Jimmy Floyd Hasselbaink in third (69).
Only Frank Lampard (147) and Didier Drogba (104) have scored more for Chelsea.
It was the club’s third victory in the new EPL season.
Hazard’s penalty kick and Yedlin’s late own goal saw the game end 2-1 to overcome an organised Newcastle side.