Scott Parker’s side are yet to pick up a point on their top-flight return, but Nuno Santo will be relieved to see own his side end a two-game losing streak.
The Cottagers were bright in the opening stages, as full back Antonee Robinson tested Rui Patricio.
But the hosts slowly began to gain control as the first half wore on with Alphonse Areola denying Pedro Neto and Nelson Semedo.
Wolves picked up that momentum again after the break, as Areola produced another vital stop, this time from Raul Jimenez.
But with his teammates unable to do much to offer protection, Areola was unable to do anything about Neto’s opener.
The visitors had three chances to clear their lines inside the box and Neto pounced on the loose ball to fire home.
Fulham did show some life in the final minutes, as Patricio saved from Neeksens Kebano, but another defeat means it will be another difficult week for Parker.
FULL TIME AT MOLINEUX IT’S WOLVES 1 FULHAM 0