From 1980 to 1984, Lislevand studied classical guitar at the Norwegian Academy of Music. In 1984 he entered the Schola Cantorum Basiliensis in Switzerland, under the tutelage of lutenists Hopkinson Smith and Eugen Dombois up to 1987 when he moved to Italy. From 1990 he was a teacher at the conservatory in Toulouse, France, from 1993 professor at the Music Academy in the German town of Trossingen.
Since his first album as main artist with works from the "Libro Quarto d'intvolatura di Chitarrone" by composer Hieronymus Kapsberger, he had gained various awards: Diapason d’Or, Choc du Monde de la Musique, 10 de Répertoire, etc.
In 1991 he played as part of the sound-track to the French film Tous les Matins du Monde together with the viol player Jordi Savall, with whom he has had an extensive collaboration.
1998: Corelli / Marais / Martin Y. Coll / Ortiz & Anónimos - La Folia (1490-1701) (Alia Vox), with Jordi Savall, Michael Behringer, Arianna Savall, Bruno Cocset, Pedro Estevan, and Adela González-Campa
2003: José Marín - Tonos Humanos (Alia Vox), with Montserrat Figueras, Arianna Savall, Pedro Estevan, Adela González-Camp
2003: Marin Marais - Pièces De Viole Du Second Livre, 1701 - Hommage À Mons.r De Lully Et Mons.r De Sainte Colombe (Alia Vox), with Jordi Savall, Pierre Hantaï, Xavier Díaz-Latorre, Philippe Pierlot
2003: Monsieur de Sainte Colombe le Fils / Marin Marais - Tonos Humanos (Alia Vox), with Jordi Savall, Pierre Hantaï, Xavier Díaz-Latorre, Philippe Pierlot, Jean-Pierre Marielle, and Le Parnasse De La Viole (3xCD)
2005: Luigi Boccherini - Fandango, Sinfonie & La Musica Notturna Di Madrid (Alia Vox), with Le Concert Des Nations, Jordi Savall, Bruno Cocset, Manfredo Kraemer, Pablo Valetti, and José De Udaeta
2005: Altre Follie (1500 - 1750) (Alia Vox), with Hespèrion XXI, Jordi Savall, Manfredo Kraemer, Michael Behringer, Mauro Lopes, and Arianna Savall
2009: Boccherini, Haydn - Boccherini: Fandango (Guitar Quintet No.4 In D / La Musica Notturna Di Madrid) - Haydn: String Quartets Opp. 3/5 & 74/3 (Sony Classical), with Carmina Quartet and Nina Corti