It's a rivalry that caught fire in the 1970's when Crystal Palace were managed by Terry Venables and Brighton were led by Alan Mullery.
Crystal Palace were in desperate need of a victory against Brighton at Selhurst Park on Saturday to move away from the relegation zone.
Yet Hughton, who took over at Brighton in December 2014, admits the curious rivalry between two clubs nearly 50 miles apart took him by surprise.
Albion face the old enemy at Selhurst Park this afternoon.
"We arguably had the best chances in that second half to get an equaliser or a victor but you can't give the goals away that we gave away in the early period of that game".
"It's about responsibility at set plays - you can have clever movement from players in the box, but it's about making sure you adjust to that and take responsibility". The story goes that, having confronted the official, Mullery responded to being showered with coffee as he left the pitch by flicking V-signs, throwing coins onto the ground and shouting, "You're not worth that, Palace".
Hodgson deserves credit for helping lift Palace out of the bottom three after the team lost their opening seven league matches. Without the 25-year-old recently, the London-based outfit have not won a Premier League game the Ivory Coast global has missed since September 2016.
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Roy Hodgson has told his Crystal Palace players that this weekend's survival showdown against local rivals Brighton will be decided by mental toughness.
It is, though, hard to see tomorrow passing off so quietly.
The Eagles sit in 17th place in the table, just three points ahead of Southampton in 18th.
"I thought we were good for periods of time". I don't really buy into it, but I read stuff on Twitter and think "half of you lot don't even watch me play".
Murray was particularly prolific during a run of results culminating in victory over Arsenal at the start of last month which saw Hughton named manager of the month and that appeared to have guaranteed Brighton's Premier League status for another season. Chris Hughton's side have handled themselves well following last year's promotion and have held their own despite starting as one of the favourites for the drop. Defeat for Brighton on Saturday would leave them probably needing one more win and they finish with games against Tottenham, Burnley, Manchester United, Manchester City and Liverpool.