Chelsea had won their opening six home league games of the season and outscored their opponents 17-0.
Since they last lost at home in the league in February, they had won 11 straight games with a 44-2 goal tally and their last home defeat by a three-goal margin was in 2002 when Manchester United beat them 3-0.
"Sunderland played with a fantastic spirit and they played better," Chelsea manager Carlo Ancelotti told Sky Sports.
"We were not able to come back into the game after going behind and it was a bad day.
"We were not able to play our football for 90 minutes, just for 15 minutes in the first half. It was a strange performance. I thought we were in a good moment, but now we have to come back in the next game."
He was asked if the surprise midweek departure of his assistant Ray Wilkins had had any impact on the performance.
"No, Sunderland played a fantastic game," the Italian said.
Arsenal won away from home for the second time in four days with goals from Bacary Sagna and Cesc Fabregas putting them in control against Everton at Goodison Park.
Tim Cahill gave Everton hope with a late strike and although the hosts rallied strongly, they could not find an equaliser.
Sunderland's Phil Bardsley (left) and Chelsea's Nicolas Anelka are involved in an aerial duel during their match on Sunday
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