Manuel Lanzini put Slaven Bilic’s side in the lead as early as the third minute, and Mark Noble doubled their advantage just before the half-hour mark.
Diafra Sakho made it 3-0 to West Ham in the final minutes of the Premier League encounter.
Liverpool and West Ham ended the game with 10 men each, as Philippe Coutinho was sent off for the Reds and the visitors had Noble sent off.
Over the course of the 90 minutes, the Hammers had just 37% of the possession, took 12 shots of which five were on target, and earned seven corners.
Hosts Liverpool had 63% of the possession, took 13 shots of which only one was on target, and earned five corners.
West Ham co-chairman Gold was delighted with the win and posted the following message on Twitter after full time:
West Ham beat Liverpool for the first time in over 50 years. The best team won. The team was outstanding so we're the fans. dg— David Gold (@davidgold) August 29, 2015