It won the "Best Song" award at the 1995 MTV Europe Music Awards.
"Zombie" was released as a music video in late 1994. The video was directed by Samuel Bayer, and produced by Doug Friedman and H.S.I. Productions.
In the video, Dolores O'Riordan is covered in gold makeup and appears in front of a cross. The video also includes clips of children playing, and of British soldiers from the Argyll and Sutherland Highlanders (as evident from their thin red line tactical recognition flashes) on patrol in Northern Ireland.