First-half goals from Olivier Giroud and Timo Werner gave the Blues all three points as the Magpies remained 17th in the Premier League table, seven points ahead of Fulham below them.
Our Newcastle United writer Miles Starforth has dished out his player ratings from the match – scroll down and flick through the pages of our picture gallery to see if you agree:
5. Jamal Lewis - 5
Had a tough night, but didn't let his head drop and stuck to his task. 5 Photo: Stu Forster
6. Isaac Hayden - 6
Nowhere near his best in midfield before the break, when Chelsea over-ran United's midfield, better in the second half. 6 Photo: Stu Forster
7. Jonjo Shelvey - 5
Outshone on the ball by Chelsea's midfield, though he put his foot in when United were out of possession. 5 Photo: Stu Forster
8. Joe Willock - 5
Never got to grips with Chelsea’s midfield, needed to do more with and without the ball. 5 Photo: Gareth Copley