Tony Pulis admitted his satisfaction at beating his old club Stoke City.
Albion started on the front foot and were ahead after only six minute when James Morrison finished a neat move at close range.
The Baggies dominted the first half and were unlucky not to extend their lead.
Stoke came into the game but not even the introduction of former Albion striker Saido Berahino could muster an equaliser.
"We're pleased," said Pulis afterwards."If you look at Stoke, they have a smashing squad of players. They've got a strong squad so it's a good result for us today.
"The supporters have really stuck with us and got behind us and can see what we're trying to do. These things take time to get right and it really annoys me when people change managers quickly.
"You get labelled for things you've done at other clubs, but I have always tried to get the best out of my players at all the clubs I've been at."
What did you make of Albion's win? Have your say at Baggies Banter.