The Indie rock band had also recently received two trophies at the Brit Awards, the BBC reported.
Other winners of the night included, Scottish indie band Belle and Sebastian, who won the outstanding contribution to music award, Lily Allen was dubbed the best solo artist and Sir Paul McCartney collected a songwriting award.
While the 'Godlike Genius' award went to veteran Us band Blondie, Haim were named the best international band.
NME Awards 2014 winners in full:
Godlike Genius - Blondie
Songwriters' Songwriter - Paul McCartney
Award For Innovation - Damon Albarn