Mohamed Salah’s first-half penalty and Alex Oxlade-Chamberlain’s composed effort once the break maintained the Reds’ relentless march towards a first top-flight title since 1990.
The result leaves the Hammers in seventeenth and higher than 18th-placed Bournemouth, and Watford in nineteenth, on goal difference.
Backed by a clamorous crowd within London sports stadium, David Moyes’ side had started in determined fashion, limiting Liverpool to few efforts on course.
However, Issa Diop’s foul on Divock Origi allowed salah to place Liverpool ahead from a penalty and their first shot on target.
The Hammers did have probabilities to attain within the second period, notably via Manuel Lanzini’s scuffed close-range shot and Robert Snodgrass’ hurried effort.
But Liverpool continuously looked capable of extending their advantage, with Oxlade-Chamberlain doubling their lead with a right-foot shot into rock bottom left corner once good work from Jordan Henderson and salah.
It ensured a cushty conclusion to the evening for Jurgen Klopp’s side, who are currently undefeated in forty one Premier League matches.