David Moyes’ side ran out 1-0 winners in a competitive affair in South Yorkshire after a thunderous second-half strike from Sebastien Haller - only his second in the top-flight this season and first ever for West Ham from outside the box.
The imperious Declan Rice, Oli McBurnie and David McGoldrick all struck the woodwork during an entertaining encounter, while Tomas Soucek and Jarrod Bowen were also guilty of missing great chances to score.
While West Ham rise to eighth in the Premier League, Sheffield United remain rock bottom of the table after a woeful start to the 2020/21 campaign continued with an eighth defeat already.
The winless Blades have taken just a solitary point from their opening nine matches this term and are now 13 top-flight games without a win in total, dating back to last season.
Follow all the match reaction with Standard Sport’s LIVE blog below…