The Baggies played the majority of the game with ten men following Jake Livermore’s red card but Allardyce’s new team were never really in it against the Villa.
Dean Smith’s side were quick out of the traps against the cross city rivals with Anwar El Ghazi putting them in front after just five minutes.
Summer signing Bertrand Traore’s cross drifted over a line of West Brom defenders inside the box and the Dutchman arrived on cue to finish at the back post.
That goal put the Baggies on the back foot before the break and their task was made even harder after Livermore was dismissed for a lunge at Jack Grealish.
With a goal and a man advantage after the restart Villa looked to move through the gears as Scottish international John McGinn headed wide just wide of the post.
But Smith’s side did finally wrap the points up with five minutes to go, as Traore cooly slotted home and El Ghazi netted his second of the night from the spot after Semi Ajayi bundled over Grealish inside the box.
Full Time at The Hawthorns it’s West Brom 0 Aston Villa 3