A Chelsea victory never looked in serious doubt, although James Tomkins headed wide from a set-piece with Palace's only clear opportunity when they briefly threatened after Abraham's strike. At the moment it's going well and we need to stay focused. He broke the deadlock soon after.
Abraham read the game well to beat Palace's offside trap in the 52nd minute and met a backheel pass from Willian before shooting low for his 10th league goal of the season.
Chelsea can boast six league wins in a row for the first time since Antonio Conte was in charge when the Blues won the title in 2017. "I did believe in the younger players. We had a lot of chances", Pulisic said. Frank Lampard's young team continues to impress and entertain, and it might just be the most watchable team in the sport right now.
Pulisic didn't get a Premier League start from August until October 26, when he took full advantage with a hat trick against Burnley.
Chelsea dispatched Crystal Palace with relative ease after a superb performance on Saturday. Kanté had injured his groin on global duty with France last month.
The Chelsea manager was rewarded for his show of faith in the 19-year-old with a performance that demonstrated James belongs at the highest level on his first Premier League start.
To compound Palace's misery winger Wilfried Zaha was hobbling at the end, with manager Roy Hodgson hoping it is nothing serious.
In between, the lively Pulisic also saw an effort well smothered by Guaita after a classy run while Reece James, who was preferred at right-back to the dropped Cesar Azpilicueta, sent in several risky crosses. Kepa Arrizabalaga in the Chelsea goal reacted well to get low and hold the slippery ball in heavy rain.
Lampard named Chelsea's youngest-ever Premier League starting lineup, which featured the likes of James, Tammy Abraham, Mason Mount, Fikayo Tomori - all of whom have enjoyed a fantastic start to the campaign.