After losing 5-2 to West Brom last weekend, Chelsea sent out a statement to their rivals in the race for Champions League qualification with one of their best displays in months.
Kai Havertz put the Blues ahead with a class finish after eight minutes and they never looked back.
Pulisic fired home a second from close two minutes later and it was 3-0 before half-time when Kurt Zouma powered home a header from a Mason Mount free-kick.
Palace pulled a goal back in the second half but Pulisic scored his second goal late on end any hopes of a fightback.
After Liverpool had won earlier in the day, Chelsea kicked off down in sixth palace and needing to answer questions about their attitude after their defeat against West Brom.
But the Blues played their best football since Thomas Tuchel took over to blow Palace away and move back up to fourth, above Liverpool and West Ham.
Mount was outstanding again on an afternoon full of positives for Chelsea, who now turn their attention to the second leg of the Champions League quarter-final against Porto on Wednesday.