After a lively first half that saw both sides hit the woodwork twice, the Hammers surged into a two-goal lead early in the second period thanks to headed goals from Diafra Sakho and Enner Valencia.
Although George Boyd pulled a goal back on the hour, substitute Carlton Cole restored the visitors' two-goal lead and ensured that Sam Allardyce's side would come away with all three points.
Read how the game unfolded with Sports Mole's minute-by-minute updates below.
BURNLEY STARTING XI: Heaton, Shackell (c), Jutkiewitcz, Duff, Arfield, Kightly, Ings, Jones, Mee, Trippier, Boyd
WEST HAM UNITED STARTING XI: Adrian, Reid, Cresswell, Downing, Sakho, Noble (c), Jenkinson, Collins, Amalfitano, Song, Valencia
BURNLEY SUBS: Gilks, Long, Ward, Chalobah, Barnes, Sordell, Wallace
WEST HAM UNITED SUBS: Jaaskelainen, Nolan, Jarvis, Vaz Te, O'Brien, Cole, Burke
Gareth Southgate an interested observer at Turf Moor today following England U21s qualification for next summer's Euro finals #ClaretsLIVE— Burnley FC (@BurnleyOfficial) October 18, 2014