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| Romelu Lukaku |
The Belgium striker, a 75 million signing from Everton, struck either side of half-time to take his tally of goals against West Ham to 11 in his last 11 appearances.
Substitute Anthony Martial and Paul Pogba added late goals that gave a true reflection of United's dominance and sent Jose Mourinho's side to the top of the early-season standings on goal difference.
United join Arsenal, Manchester City and Tottenham Hotspur on maximum points and while West Ham offered scant resistance, the early signs suggest Mourinho's men will not end the season 24 points off the pace again.
While Lukaku took the headlines, Nemanja Matic also enjoyed an assured home debut following his 40 million switch from Chelsea and there were strong showings from Pogba, Henrikh Mkhitaryan and Marcus Rashford as well.
West Ham manager Slaven Bilic, who gave league debuts to Joe Hart, Pablo Zabaleta, Marko Arnautovic and Javier Hernandez, will hope for better when his side visit Southampton next weekend.
Having opened his account in Tuesday's UEFA Super Cup loss to Real Madrid in Macedonia, Lukaku now has three goals in two United games.