Despite dominating the first-half, the Blues had to remain patient for the opener and it arrived a couple of minutes before the break and from an unlikely source.
Noni Madueke did well down the right-hand side to get himself a yard and send a ball into the box which was met by the head of Marc Cucurella.
The lead should have been doubled just before the hour mark following great work from Jadon Sancho on the left as he cut the ball back for Nicolas Jackson, who somehow, from a few yards out failed to hit the target.
That miss seemed to galvanise the Bees and Chelsea had their goalkeeper Robert Sanchez to thank as he made two superb saves to deny Vitaly Janelt and then Christian Norgaard before Fabio Carvalho saw his effort hit the woodwork.
Slightly against the run of play, Jackson made amends for his earlier miss as he doubled the Blues’ lead with a fine run and finish. And despite a late scare when Bryan Mbeumo pulled one back for Brentford, the hosts held on to make it five straight wins in the Premier League.
Next Sunday, Chelsea make the trip to Goodison Park to face Everton. The incentive for the west London outfit is another three points will put them top of the table before Liverpool kick-off away at Spurs later in the day.
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