Laukvik studied church music, organ and piano in Oslo. Afterwards he worked with Michael Schneider and Hugo Ruf in Cologne and Marie-Claire Alain in Paris. 1980 he was appointed professor  of organ at the Hochschule für Musik und Darstellende Kunst in Stuttgart. 2001 he was appointed professor at the Norwegian Academy of Music in Oslo. Since 2003 he is also guest professor at the Royal Academy of Music in London.
- 1977: International organ week Nuremberg
- 1977: International organ competition (Deutscher evangelischer Kirchentag)
- Orgelschule zur historischen Aufführungspraxis