A bizarre second half own goal by Palace goalkeeper Vicente Guaita was enough to secure all three points on the road for Chris Wilder’s men, who are now in sixth place.
Click through to see if you can spot anyone you know – or maybe yourself - in our fans gallery. Photos by Paul Terry and Marc Atkins.
1. Sheffield United fans at Selhurst Park.
United fans shield their eyes from sun the while watching their side defeat Palace 1-0 on Saturday. Photo: Marc Atkins
2. Sheffield United fans at Selhurst Park.
Blades fans get ready to watch their side take on Palace. Photo: Paul Terry
3. Sheffield United fans at Selhurst Park.
A Blades fan makes his way to Selhurst Park before Saturday's game. Photo: Paul Terry
4. Sheffield United fans at Selhurst Park.
Blades fans get ready to watch their side take on Palace. Photo: Paul Terry