Roy Hodgson savoured his first return to Anfield with three points after watching a resolute Albion smash and grab raid.
Albion were forced to defend for long periods as Liverpool bombarded the Baggies’ goal. But Liverpool could not find a way past Ben Foster as lady luck shined on Albion.
The back four of Billy Jones, Jonas Olsson, Gareth McAuley and Liam Ridgewell stood firm before Peter Odemwingie struck - 45 years after Jeff Astle had done - to record a first win at Anfield in four decades.
"The greatest satisfaction I have today is the effort the team put in," said Albion’s boss "We had to ride our luck sometimes and it was a massive rearguard action.
"To be fair they piled on the pressure in the second half and it was a tough rearguard action and the players perhaps deserved a bit of luck.
"It was a hardworking, really gritty performance and I have got to be proud of the team.
"It was a great day today as it is unusual for West Brom to beat Liverpool home or away, so it is a special occasion.
"I am not making any bones about it, it was a lucky win.
"Liverpool were clearly the better team and created the better chances and were very unlucky to lose the game, but if I lament Liverpool's misfortunate I am happy with our good fortune and happy with the way the team fought to the bitter end for the victory."
Can you remember Albion last beating Liverpool at Anfield? Recall your memories here at Baggies Banter.