Tellier's first album, L'incroyable Vérité (The Incredible Truth), was released in 2001. Tellier went on tour with Air in support of the album and was joined on stage by world-renowned theremin player Pamelia Kurstin. L'incroyable Vérité is a pop album featuring styles from lo-fi electronica to bizarre cabaret tunes. Its sleeve featured Tellier in full evening dress on the front, while the back of jacket had a shot of him cavorting in a playboy's pool. He instructed listeners only to listen to the album by candlelight.
Tellier followed L'incroyable Vérité with his second studio album Politics (2005). A particularly popular song from Politics was "La Ritournelle", a string-led tune, which featured Nigerian drummer, Tony Allen of Fela Kuti fame. "La Ritournelle" was remixed by various artists, notably in Britain by Metronomy