The meeting, which took place at the Olympic Stadium in London, ended with a score of 1: 0 in favor of the guests.
The victory was brought to Everton by the goal of Dominic Calvert-Lewin, who distinguished himself in the 24th minute.
West Ham are fifth in the Premier League standings with 58 points.
Everton are eighth with 55 points.
Earlier it was reported that the Premier League set a new record for the number of penalties per season.