West Ham distanced themselves from the Premier League relegation zone as David Moyes' side found a way past a resilient Bournemouth at the London Stadium.
Kurt Zouma's desperate strike on the stroke of half-time gave the hosts a deserved lead as the centre-back scrambled an effort over the line from a corner.
VAR intervened as Thilo Kehrer was shown to handle the ball in the build-up to the goal but the goal stood as Bournemouth boss Gary O'Neil was shown a yellow card for berating officials.
West Ham defender Kurt Zouma (centre) opened the scoring with a strike just before half-time
The visitors were undone by early injuries as star striker Dominic Solanke was subbed off in the first-half and Brazilian goalkeeper Neto failed to emerge following half-time after appearing to pull his hamstring.