Wolves' impressive Premier League form continued as they beat an Everton side whose performance will surely worry manager Rafael Benitez.
Max Kilman headed his first Wolves goal, shortly after Hwang Hee-chan's strike was ruled out for offside.
Raul Jimenez capitalised on Ben Godfrey's awful backpass to dink the ball over Jordan Pickford to double the hosts' lead before the break.
Alex Iwobi prodded in after half-time but but the visitors rarely threatened.
The win is Wolves' fourth in five games and takes them up to seventh.
But Everton, stunned 5-2 at home by Watford in their previous match, are heading in the opposite direction and drop to 10th after three straight defeats.