It was a perfect night for Graham Potter's side, who dominated throughout.
Leandro Trossard opened the scoring on the stroke of half-time with a superb curling effort to follow up his match-winner against Southampton last weekend.
Ryan Fraser hit the post as the visitors started the second-half on the front foot but Danny Welbeck' s stunning strike - his third goal of the season - put Albion firmly in control.
Newcastle never looked like getting back into the game and Neal Maupay made sure of that when he finished off a slick team move, with a fine volley, for his first goal in ten games.
Scroll down and click through to see how Albion's players rated.
Photos via Getty Images.