West Ham manager Slaven Bilic
Slaven Bilic's side were poor for long periods and once again conceded late on at the Bridge to drop points, just as they did last season.
Antonio Conte got life in West London off to a winning start thanks to a penalty from Eden Hazard and a fine late strike from Diego Costa.
West Ham looked like they may go on to snatch an unlikely point when James Collins smashed home a superb half volley in the box to make it 1-1 in the second half.
Some lackadaisical play in possession on the halfway line gifted Chelsea a counter attack and Costa punished the Hammers with a fine finish into the bottom corner from outside the box.
Here's how West Ham's players rated in the battle of East vs West London:
West Ham United's Adrian in action
Adrian - 8
Nothing he could do about either goal, made a couple of saves to keep the score at 0-0 and his distribution was decent too. A solid game from the Spaniard.
Chelsea's Eden Hazard in action with West Ham United's Michail Antonio and Mark Noble
Antonio - 3 (subbed for Byram)
Another game, another bemusing decision from Slaven Bilic to play Michail Antonio at right back. The powerful winger scored and assisted 15 goals last season after breaking into the first team in December yet Bilic continues to insist on playing him in an alien position. It is a mistake per game from Antonio at right back at the moment and so it proved again as he tried to play his way out of the box and then gave away a penalty. Worryingly, by bringing him off altogether, Bilic has more or less declared that is where Antonio's future lies under him. The situation is fast becoming West Ham, and Bilic's Achilles heel.
West Ham United's James Collins scores their first goal
Collins - 8
Possibly at fault for Chelsea's winner but barely put a foot wrong all night despite being left exposed at times by Antonio and Havard Nordtveit. Got a cracking goal too.
Reid - 7
Patchy performance from Reid but he got more right than wrong. His form has not been great in 2016 and he must rediscover that assured presence or West Ham will continue to look goals. Made a few timely blocks and interceptions but not the Reid West Ham fans grew to love.
Masuaku - 7
New signing looks a real find for Bilic and was the only of the new boys to emerge from the game with any credit. Composed on the ball, quick and intelligent, a quality signing on this evidence.
Noble - 5
Kept getting caught in possession in the middle of the park which was more down to Bilic's tactics and formation than anything else. Looked better and more comfortable when Payet came on but Bilic needed a lot more from his captain in a big London derby.
Nordtveit - 3 (subbed for Payet)
Woeful performance from Nordtveit who has blown hot and cold in his performances so far. He was slow and ponderous on the ball, kept giving away possession and his distribution was poor. It is still very early in his West Ham career but he continually telegraphs long under or over hit passes which just gift possession back to the opposition. He did play well against Slovenian minnows NK Domzale so there is hope he will improve as he adjusts to the Premier League.
Kouyate - 7
Kouyate is one of West Ham's most important players but like Noble he struggled to get into the game with the way Bilic set his side up. He is so important to a successful West Ham side but he was used in a more advanced role for much of the night and the Hammers lost his tigerish presence in the middle of the park, which was exacerbated by Nordtveit's performance.
Chelsea's John Terry in action with West Ham United's Andre Ayew
Ayew - 4
In typical West Ham style, record signing Andre Ayew limped off the pitch with what looks a long term injury just a week after signing. Did little of any note in the match and will have a scan to determine the extent of his thigh injury.
Valencia - 6
Will probably be the scapegoat for West Ham's boo boys, but Valencia did in fairness put a shift in for his team with very few attacks coming down the left hand side where he and Musuaku were operating. He does frustrate, though, and was another who kept gifting possession to the hosts. Didn't have a shot in anger and is fast becoming the new Modibo Maiga in the eyes of Hammers fans.
Carroll - 5
Battled hard, put himself about but didn't have a single shot on target? Sound familiar? Well you could probably write the same sentence every time Andy Carroll starts up front for West Ham as their main striker. With him as the starting striker West Ham are so easy to defend against, particularly while Payet was off the pitch. Stop the crosses, stop the threat. Chelsea were happy to let him control the long balls in their half because he would either give the ball away, take a poor touch or when he did find a teammate, there was no quality to beat a man and get a cross in. As a Plan B from the bench with defenders tiring, Carroll is a different proposition altogether.
West Ham United's Dimitri Payet in action with Chelsea's N'Golo Kante
Payet - 7
The Hammers only created two chances all night and both were when he entered the field. Bilic's side looked much better with their French hero back involved but the over reliance on their talisman could be a problem with Lanzini still a month away.
Byram - 8
Very good display from the young right back who must surely start there in the next game? Hammers fans were hoping Bilic had learned his lesson from West Ham's terrible performance in the 2-1 defeat to Domzale in Slovenia but this was proof if it was needed that he can perform at this level.
Tore - 3
Absolutely anonymous. One of the worst West Ham debuts in living memory. Did absolutely nothing and spent most of the time walking around looking lost. Why Bilic did not just push Antonio forward into his favoured position has most Hammers fans scratching their heads, then Tore's performance only compounded the situation.