"Viðrar vel til loftárása" spawned a cinematic and controversial music video. Set in 1950s Iceland, it features a football match between two teams of young boys. As one team scores a goal and celebrates, two young boys on the same team begin to kiss. The kiss is eventually broken up by the boys' fathers. All band members appear in cameo in the video: Jónsi is the soccer team coach, Orri is the scorekeeper, Georg is the referee, and Kjartan is one of the spectators. Moreover, the fetus design from the Ágætis byrjun album cover is shown on a bottle from which one of the boys drinks.
Production for the music video began in the autumn of 2001. A general casting call was held in the city of Reykjavík, Iceland, which was also the place of principal photography. The video was directed by Arni & Kinski, Icelandic directors Stefán Árni Þorgeirsson and Sigurður Kjartansson (Siggi Kinski). The video won an Icelandic Music Award for "Best Video" in 2002.