The Eagles and the Seagulls may not be geographically linked but have been fierce rivals since the days of Terry Venables and Alan Mullery in the late 1970s.
On Sunday Leonardo Ulloa's brace and a free-kick from David Lopez secured Brighton's first home success over the enemy from up the A23 in 25 years.
But Holloway insists he has bigger fish to fry than worrying about derby matches.
"I don't care about rivalry," said the Eagles boss. "We've got rivalry with every single team in this division to try and get up.
"So when you talk about rivalry or local rivalry it's a waste of breath and nonsense.
"I come from Bristol, no one cares. It's about who can finish the season in those top-two places, who can then muster a gallop to win the play-offs. That's all that matters."
Palace now have a two-week international break to lick their wounds before they host Birmingham a week on Friday.
And Holloway said: "There's eight games left, we've got to dust ourselves down and look optimistically at the next challenge.
"We've got eight games left to do a bit better than that. Brighton have enjoyed that but we have to get back to work. We'll live to fight another day."