Olivier Giroud also scored to help hand new manager Thomas Tuchel a fifth-straight win in all competitions and maintains his unbeaten start as Chelsea boss.
Giroud then made his mark 11 minutes later after some fine work down the left from Timo Werner, whose low cross was palmed toward the former Arsenal man to thump home.
The tally made Giroud the first Chelsea striker to score a league goal in 2021, ending a difficult dry spell for the France international, Abraham and Werner up front.
With the floodgates open, Werner added another eight minutes later with a poacher’s goal at the back post following a corner kick for his first Prem goal for the club.
The win gives Chelsea 42 points from 24 matches, tied with fifth-placed West Ham and four back of Leicester in third. Meanwhile, Newcastle remain in 17th, seven points ahead Fulham for the final relegation spot.