The 26-year-old opened the scoring at Old Trafford just after the hour mark with a close-range strike, his first in front of the home fans.
Man United were unable to build upon Dalot’s goal, however, and West Ham got their equaliser in the 83rd minute through midfielder Soungoutou Magassa.
Speaking to Sky Sports after the game, Dalot was asked about their lack of control and was clearly frustrated by his side’s inability to get all three point and move up to fifth.
"It's the solution that we need to find. It can be various things,” he said.
“It shouldn't be like this because you are fighting 60 minutes to score a goal and then when it happens you should keep doing the same things, even more controlling, longer possession so we can be dominant.
“Especially the play that goes to the corner that we conceded - that's the kind of play that we need to avoid, especially against teams that are good on the counter.
"And we knew today that they were going to be looking for counter-attacks and set plays and unfortunately we couldn't hold the result but in the end we have to look to ourselves - I think it's more our fault, than credit to West Ham."