Kolbrún Björt has written three original full length shows, Kjöt (e. Meat), Bitter Sweet and Chet Baker, Love, all produced by Brite Theater. Her writing has been described as stripped back, clever and bold.

Her original Shakespeare mash-ups, My Only Love Sprung from My Only Hate and Shakespeare in Hell (with Emily Carding) have been renowned for providing new insights into the Bard's characters. 

She has adapted Shakespeare's Richard III (with Emily Carding) and Twelfth Night (with ensemble) as well as Chekov's The Seagull. She has also adapted four musicals, both story and songs. She translated Howard Barker's Knowledge and a Girl into Icelandic. 

She worked as a dramaturg on Gareth Morgan's Notes on Some Persons, Starting to Crack and assisted dramaturg Marc Matthiesen and director Egill Palsson on their adaptation of Frun från havet for Göteborgs Stadsteatern (Gothenburg's City Theatre). She is currently working on ​The House That Melts with the Rain​ by Jennifer Adam and Unfinished Demon Play by Jen McGregor.

​Her piece ​Troubles of the Female Variety​ was chosen and performed as part of Words Words Words at the Traverse Theatre in 2016. Kolbrún is currently working on expanding this as a mentored playwright at Playwrights' Studio Scotland, mentored by Alan McKendrick, as well as developing ​(Can This Be) Home​. She is also writing a new play for the ensemble called Where Exactly which saw it's first staging (excerpt) at the Tron 100 Festival 2017.