Erik Højsgaard was born in 1954 in Aarhus.
He graduated from high school in 1973.
He studied composition with Per Nørgård at the Royal Academy of Music in Aarhus 1973-78. Diploma in 1978. In addition he studied eartraining and solfege at the Royal Danish Academy of Music in Copenhagen 1982-84. Diploma in 1984.
1977-82 he made his living as music copyist.
Since 1982 teacher at The Royal Danish Academy of Music in Copenhagen, 1988-2001 as assistant professor, and since 2002 as professor.
Manager in Aarhus Unge Tonekunstnere 1974-1977. Member of the board of Young Nordic Music 1974-1981.
Member of Danish Composers' Society since 1975. Member of the board of The Society for the Publication of Danish Music (Edition·S) 1982-1990.
1993-2008 member of the board of The Kongegaard Foundation.
Composer in residence, Aalborg Symphony Orchestra, 2003-2004.
Honorary prizes: Three-year scholarship from the Danish State Art Foundation 1979 · Astrid og Axel Agerbys Mindelegat 1979 · Herman Sandbys Legat 1987 · Danish Composers Society's Grant 1992 · Prize in Honour of the Composer Carl Nielsen 1993 · Poul og Sylvia Schierbecks Legat 1995 · Hakon Børresen Fondens pris 2014.
Visiting fellowships at San Cataldo 1986, 1999 and 2019.
His works have been performed in several festivals: ISCM World Music Days · Salzburg Festival · Nordic Music Days · NUMUS · Festival Internazionale di Musica, Roma · ICMC Computer Festival · Scandinavian Music Today, Japan · Cantiere Internazionale d'Arte, Montepulciano · Young Nordic Music · Danish Composers' Biennial, Copenhagen · Copenhagen Summer Festival · Sorø International Music Festival · Fylkingen, Stockholm · MusikSommerBerlin · Århus Festival a.o.
Performances and broadcasts in Norway, Sweden, Finland, Iceland, England, France, Germany, The Netherlands, Hungary, Belgium, Italy, Austria, Slovenia, Bulgaria, Israel, South Korea, USA and Australia. Moreover performances in Japan, Russia, Egypt, Cuba, Brasil, and Mexico, and broadcasts in Ireland, Spain, Romania, Czech Republic, and Canada.