Eberechi Eze struck twice as Crystal Palace won their third consecutive game and left wasteful Southampton rooted to the bottom of the Premier League table.
Eze was the catalyst for Palace as he scored from a rebound after Jordan Ayew’s strike was palmed into his path by home keeper Gavin Bazunu.
His second goal saw him turn away from his defender and arrow a precise finish into the bottom corner.
Southampton were lively in the first half, with Kamaldeen Sulemana heading over, but were unable to make their chances count.
Just like in their 5-1 win over Leeds last weekend, Crystal Palace were off the pace in the first half.
Cheick Doucoure fired over the bar after two minutes, but the away side did not have a shot on target in the opening 45 minutes.
However, the Eagles held firm defensively and went on to produce a clinical display in the second half.
Eze has now scored seven Premier League goals this season, more than any other Crystal Palace player.
Palace remain 12th, and their fears of relegation are fading after another impressive performance on the road.