Match ends, Everton 3, Chelsea 1.
Steven Naismith scored a hat-trick as Chelsea's struggles continued with a third loss in their opening five league games following a defeat at Everton.
Naismith came on for the injured Muhamed Besic early on and headed in Brendan Galloway's cross before rifling in a shot to put the Toffees 2-0 up.
Chelsea responded when Nemanja Matic scored with a superb 30-yard effort.
However, the visitors struggled for chances and Naismith slotted in a late angled strike to complete his treble.
Chelsea's early season misery continues
Chelsea's tally of four points from a possible 15 means they have made their worst start to a top-flight season since 1986.
The Blues lost only three games on the way to the Premier League title last season - but after losing three already this campaign they are 11 points behind top-flight leaders Manchester City, who beat Crystal Palace on Saturday.
"It is better not to look at the table," said Chelsea manager Jose Mourinho. "For me it is the first time I look and see my team in that position. I don't look at the table, I look to players, the training session we have and the matches.
"Our next match in the Premier League is against Arsenal and we are candidates to win."
Chelsea's defensive woes
Chelsea's failed pursuit of Everton centre-back John Stones and reports they had a transfer deadline day offer for Paris St-Germain defender Marquinhos rejected shows where Mourinho thinks he needs strengthen.
The Portuguese chose Kurt Zouma to partner John Terry, who was back from a one-game suspension, in central defence and left Gary Cahill on the bench. He also recalled John Mikel Obi to partner Matic and reinforce the defensive side of his midfield.
But the Blues were quickly two down, while keeper Asmir Begovic - in for the injured Thibaut Courtois - was regularly called upon and made several smart saves, denying Arouna Kone, James McCarthy and Romelu Lukaku.
Mourinho's side have now let in 12 goals this season.
'Money can't buy you Stones'
England international Stones handed in a transfer request but Everton held on to him resulting in Toffees supporters chanting "money can't buy you Stones" at Chelsea to the tune of The Beatles classic Can't Buy Me Love.
Stones did not take long to show his mind was firmly on the job at hand. Chelsea striker Diego Costa nutmegged him early on but Stones quickly turned to reach the ball before the Spain international and cleared the danger.
When Cesar Azpilicueta stole in on the right to try to haul Chelsea back into the game, Stones also got in the way of the shot to deflect it into the side-netting.
He showed calmness and maturity beyond his 21 years and his partnership with Phil Jagielka blends youth with experience - the latter twice putting in vital tackles on Costa in dangerous situations for the home side.
Costa scored seven goals in his first five league games of last season but has managed just one in the same number of matches so far during the current campaign.
He got little change from the Everton defence and was far from the marauding powerhouse we saw early last season.
Costa may point to the limited service as playmakers Cesc Fabregas and Eden Hazard made little impact, with the former not having scored or assisted a goal in any of his last six league outings.
Mourinho sent on Radamel Falcao for the ineffective Pedro late on but it made little difference, with Everton the most likely scorers as they played on the counter-attack.
Man of the match - Steven Naismith
'I'm the man for the job'
Chelsea manager Jose Mourinho: "I am not feeling pressure. The results are the worst in my career. They are not adapted to my quality, my status, but I am coping well with the situation.
"I am the man for the job. I don't think there is better man who could come and do my job."
He added: "Even if we win every game between now and the end of season, we still depend on other results."
Everton boss Roberto Martinez: "A performance like that gives you a feeling of pride. An incredible team performance.
"Steve (Naismith) is a really important player for us, not just today but over the last two seasons he has been growing week by week. He showed everyone that he is ready for his moment and he did it in real style."
'Jose under real pressure'
Former Blackburn striker Chris Sutton on Final Score: "That result was very unlike Chelsea. Jose won't be going anywhere, but you cannot afford to start the Premier League sluggishly and they have done.
"They are treading water, or really going backwards. This is the first time in his Chelsea career that he has been under real, real pressure.
"Jose Mourinho is talking rubbish, saying his team did not get what they deserved. Everton were much the better side. It's all very well Jose coming out and giving an interview to the media smiling away - he's culpable."
The stats you need to know
- Naismith was the sixth player to score a hat-trick after coming on as a sub in a Premier League game.
- He also became only the fifth player to score a Premier League hat-trick against Chelsea and the first since Robin van Persie for Arsenal in October 2011.
- This is the first time that Jose Mourinho has lost two successive Premier League games since May 2006.
- The last time Chelsea had a worse start to a top-flight season was in 1986-87 (three points - P5 W0 D3 L2). They finished that season in 14th position.
Chelsea face Maccabi Tel Aviv in their opening Champions League group game on Wednesday, while Everton face a trip to Swansea in the Premier League next Saturday.
- 23ColemanSubstituted forFunes Moriat 77'minutes
- 5StonesBooked at 87mins
- 32GallowayBooked at 65mins
- 17BesicSubstituted forNaismithat 9'minutes
- 9KonéSubstituted forLennonat 72'minutes
- 25Funes Mori
- 28AzpilicuetaBooked at 88mins
- 12MikelSubstituted forKenedyat 55'minutes
- 17PedroSubstituted forFalcaoat 70'minutes
- 4FàbregasSubstituted forWillianat 74'minutes
- 10E Hazard
- 19Diego CostaBooked at 90mins
- Andre Marriner
- Shots on Target
Second Half ends, Everton 3, Chelsea 1.
Kurt Zouma (Chelsea) wins a free kick in the defensive half.
Foul by Steven Naismith (Everton).
Diego Costa (Chelsea) is shown the yellow card for a bad foul.
Foul by Diego Costa (Chelsea).
Ramiro Funes Mori (Everton) wins a free kick in the attacking half.
Foul by Willian (Chelsea).
Brendan Galloway (Everton) wins a free kick in the defensive half.
Kenedy (Chelsea) wins a free kick in the defensive half.
Foul by Steven Naismith (Everton).
César Azpilicueta (Chelsea) is shown the yellow card for a bad foul.
Foul by César Azpilicueta (Chelsea).
Aaron Lennon (Everton) wins a free kick in the defensive half.
John Stones (Everton) is shown the yellow card.
Kenedy (Chelsea) wins a free kick in the attacking half.
Foul by John Stones (Everton).
Attempt saved. Ross Barkley (Everton) right footed shot from outside the box is saved in the top left corner.
Foul by Willian (Chelsea).
Steven Naismith (Everton) wins a free kick in the attacking half.