Adam Lallana had given Brendan Rodgers's struggling side the lead with his first goal for the club, before Saido Berahino equalised from the penalty spot shortly after the break
Brendan Rodgers watched his team's slump extend to a dispiriting 1-0 Champions League loss at Basle in midweek.
Once more, Liverpool fell short of the dazzling attacking play they produced last season during the opening period on Saturday, but Adam Lallana's superb first goal for the club on the stroke of half-time went some way to settling their nerves.
|VIEW FROM ANFIELD
|By Paul Macdonald
Brendan Rodgers'S side made heavy weather of it but eventually clinched a valuable league win against a dogged West Brom outfit.
Jordan Henderson was the star player, providing a lovely assist for Adam Lallana's opener, and then firing home the winner after Saido Berahino had levelled from the spot.
Make no mistake, Liverpool are still some way off from the standards they have set themselves, but a win was the most important thing today going into the international break, and they achieved it.
But Jordan Henderson ensured parity did not last long and some of Liverpool's old swagger returned on the back of his clinical 61st-minute finish.
Misfiring striker Mario Balotelli was dropped to the bench as Rickie Lambert came in to lead the Liverpool attack, while Costa Rica international Cristian Gamboa made a first Premier League start at right-back for West Brom with Andre Wisdom unavailable to face his parent club.
Liverpool enjoyed the better of the opening exchanges and Steven Gerrard drilled a free-kick against the West Brom wall after Sebastien Pocognoli came perilously close to fouling Henderson inside the box.
A lofted pass from Martin Skrtel gave Lambert his first sight of goal, but Ben Foster displayed razor-sharp reactions in the West Brom goal.
By the midway point of the first half, West Brom had settled comfortably into the contest and Liverpool goalkeeper Simon Mignolet saved well in the 35th minute when Berahino ran at a back-peddling home defence to unleash a vicious, swerving strike.
Berahino headed wastefully over from close range as the interval approached and his frustration was compounded as Lallana put Liverpool ahead in the final minute of the first half.
The midfielder collected a return backheel from England team-mate Henderson and displayed a deft touch and balance before firing low across Foster.
Not for the first time in the afternoon, Lovren struggled against Berahino's speed and movement, although he was unfortunate to see referee Michael Oliver point to the spot when he clattered through the forward.
Berahino hammered home from the spot, but West Brom were only level for five minutes as Raheem Sterling regained his footing having gone to ground under Craig Gardner's challenge and fed Henderson to slot home.
Liverpool were determined not to give their visitors another route back into the contest, with Sterling to the fore, and the winger skipped past Joleon Lescott to draw a vital block from Pocognoli before recently introduced Balotelli then lashed wide.
A wonderfully whipped cross from Chris Brunt prompted a poorly mistimed header by Berahino when well-placed, leaving him without the second goal his boundless energy perhaps deserved.
West Brom pressed in spirited fashion late on, while Foster saved with his legs in stoppage time to ensure Balotelli's wait for a first league goal for Liverpool goes on.