He received his initial training under Jytte Gorki Schmidt at the Royal Danish Academy of Music in Århus, obtaining his diploma in 1972. He has performed around the world as a soloist, chamber musician and with various orchestras. He has also toured as a guest lecturer. The first of many recordings by him appeared in 1975; among them are J. S. Bach's lute works and the complete guitar works of Per Nørgård. He plays repertoire from all periods — Renaissance, Baroque, Classical, 'Segovia-style' and modern — and he has commissioned a large number of works from living Scandinavian composers (see below). He is also the author of the book Guitaren, et eksotisk instrument i den danske musik (The guitar, an exotic instrument in Danish music) and a number of articles.
Composers who have written works for Erling Møldrup