An impressive performance from Frank Lampard’s side keeps them firmly in the title race thanks to goals from Olivier Giroud, Kurt Zouma and Christian Pulisic.
Despite the final result, it was the visitors that started the brightest, as former Blues forward Patrick Bamford bagged his eight goal of the season.
Kalvin Phillips’ pass caught the Chelsea backline out of position and Bamford kept his cool to tuck past Edouard Mendy.
Chelsea did look to quickly react to that setback as Timo Werner’s deflected onto the bar and Illan Meslier denied Mason Mount.
But the with the traffic all heading in one direction, Giroud hauled the Blues level on the half hour mark.
Reece James delivered a perfect ball into the box and the Frenchman got across his man to finish at the front post.
Both sides showed plenty of drive after the restart with vital missed chances at either end as Raphinha tested Mendy and Werner brought a brilliant stop from Meslier.
But the Blues didn’t have to wait much longer for a second as Zouma escapes his marker to power home Mount’s corner.
That goal seemed to edge the final stages for Chelsea as Meslier was called into action again to deny Giroud and Werner.
And Lampard’s side finally snatched that all important third goal in added time as Captain America Pulisic slid home from Werner’s pull back.
Full Time at Stamford Bridge it’s Chelsea 3 Leeds United 1