The Clarets, who had already matched the 54-point total from the 2017/18 campaign, needed a draw to set a new marker in the top flight.
However, goalkeeper Nick Pope lost out in his bid for the Golden Glove as Yves Bissouma and Aaron Connelly netted in a 2-1 win for the Seagulls.
Chris Wood had levelled for the home side just before the break while Jay Rodriguez saw his second half header chalked off.
The result ended Burnley's seven-game unbeaten run on home soil as they closed the term in 10th position.
Here are the player ratings...
Chris Wood had levelled for the home side just before the break while Jay Rodriguez saw his second half header chalked off.
![Beaten for pace up against Lamptey a number of times, but soon acclimatised. Didn't give much away, picked up some good positions higher up the pitch, and provided a brilliant assist for Wood's equaliser.](https://www.thestar.co.uk/webimg/QVNIMTE2NDMwMDM2.jpg?crop=3:2&width=640)
5. Erik Pieters 6
Beaten for pace up against Lamptey a number of times, but soon acclimatised. Didn't give much away, picked up some good positions higher up the pitch, and provided a brilliant assist for Wood's equaliser.
![Slowly working his way back to full match fitness with another 75 minutes in the bank. Starting to provide the creative arm that the Clarets have been crying out for down that right hand side. Positive signs.](https://www.thestar.co.uk/webimg/QVNIMTE2NDMwMDM3.jpg?crop=3:2&width=640)
6. Johann Berg Gudmundsson 6
Slowly working his way back to full match fitness with another 75 minutes in the bank. Starting to provide the creative arm that the Clarets have been crying out for down that right hand side. Positive signs.
![Very good again in the middle of the park. Couldn't quite get to Bissouma in time in the seconds before the Brighton midfielder netted, but worked well in and out of possession. Could be a big player for Burnley next season.](https://www.thestar.co.uk/webimg/QVNIMTE2NDMwMDM4.jpg?crop=3:2&width=640)
7. Josh Brownhill 7
Very good again in the middle of the park. Couldn't quite get to Bissouma in time in the seconds before the Brighton midfielder netted, but worked well in and out of possession. Could be a big player for Burnley next season.
![Always looking to drop into space to link play from back to front. Hard-working, which is a prerequisite for the midfielder, and his set-pieces were once again troublesome for the opposition.](https://www.thestar.co.uk/webimg/QVNIMTE2NDMwMDM5.jpg?crop=3:2&width=640)
8. Ashley Westwood 6
Always looking to drop into space to link play from back to front. Hard-working, which is a prerequisite for the midfielder, and his set-pieces were once again troublesome for the opposition.