Formed by a group of friends in Sorel-Tracy, Québec, the band made itself known in 2004 with the release of its first album, Le Compte complet.

Critics welcomed the disc with positive reviews, which allowed the group to become instantly famous in the Quebec music scene.

In the months that followed the release of their first album, Malajube launched a tour across Quebec, participating in several major festivals, such as Les FrancoFolies de Montréal.

Collaborations with singer Pierre Lapointe, Québécois rap group Loco Locass and Valerie Jodoin Keaton (The Dears), and the use of a wide variety of instruments has contributed to the album's success in addition to audio engineer/record producer Ryan Battistuzzi's (We Are Wolves, Death from Above 1979, Blessed by a Broken Heart) production work.

[1] Trompe-l'œil also began to attract attention in English Canada in July, when it was shortlisted for the 2006 Polaris Music Prize, and in the United States in October, when it was a featured review on Pitchfork Media.

In 2006, they won three Félix Awards at the 28th edition of the Gala de l'ADISQ: two for Trompe-l'œil, "Best alternative album" and "Best cover art" while they were proclaimed "Revelation of the year 2006".

Malajube composed and performed the soundtrack for the 2010 Canadian film The Trotsky starring Jay Baruchel and Colm Feore.

In February 2010, the National Film Board of Canada's French Program produced an interactive video for the unreleased song "Contrôle", called "100 mots pour la folie".