While mainly focused on playing the guitar and developing a language of improvisation, Björkenheim has also maintained a keen interest in composing. His first commission to write for big band in 1982 was the beginning of a career composing for big band, symphony orchestra, string quintet, electric guitar orchestra, and small jazz ensembles. Click HERE to go to a page with a list of main compositions, where you can also take a look at the scores themselves. He has also composed and recorded the scores for ten films.

 Orchestral works:

 Whales (1992)

Ballando (1994)

Situations (2003)

Afterwards (2008)

Doom Mood (2011)

Big band: 

Other Places (1982) 

Some (1984) 

Primal Mind (1991) 

The Sky is Ruby (2000) 

Donkey Hot (2011)


Apocalypso for guitar orchestra (1995)

Quintessence for string quintet (2004)

Links for 5 soloists & perc. (2016)

Never but Always (2018)