The Blues drew first blood from the penalty spot on the 23rd minute mark through Jorginho after debutant Timo Werner was brought down by Mat Ryan.
Brighton pulled parity nine minutes after the break when Leandro Trossard fired home from a long-range, but the visitors restored their lead two minutes later thanks to Reece James’ first Premier League goal.
Kurt Zouma scored Chelsea’s third with a low shot which took a ricochet off the toe of Adam Webster, leaving Ryan rooted to the spot.
Chelsea’s defensive gremlins reared its ugly head again against the Seagulls but Lampard insists he was happy with his team’s display as he thinks the Londoners had few days to prepare for their season opener.
“To come to Brighton and win is a tough ask. We've only had a few days so I didn't expect to see the kind of football we want to play,” the former Derby County manager said.
“We had to do some of the more difficult things - resilience, throwing yourself in front of the ball, so I'm pleased.
"We've had a lot of quarantines, a lot of players who aren't match fit.”
“That's how this season has started. There's a lot of strain on these players and hopefully wer'll get better and better."
Next up for Chelsea is a home game against English champions Liverpool on Sunday.
