Crystal Palace secured their first Premier League win of 2023, ending Brentford's 10 game unbeaten run in the process.
Substitute Eberechi Eze scored his fourth goal of the season after beating Ethan Pinnock at the back post to get on the end of Michael Olise's cross.
Chances were few and far between as Brentford - who have now tasted defeat in the league for the first time since October - struggled against a resolute Palace defence.
Brentford captain Christian Norgaard had their best chance just before the hour mark when his half volley was struck into the midriff of Vicente Guaita.