Apart from Mikael R Andreasen, the core group of Kloster consists of Solrun Stig, Sarah Hepburn, and Jakob Brixen. Hepburn and Stig have both been permanent parts of Kloster since the beginning in 2001. Brixen joined forces with Kloster in 2008 and has ever since been a regular part of the lineup when Kloster appear as a band. When special occassions need an even larger live setup, Mikkel Elzer and Ruben Riisager are usually brought in.

Since 2001, Kloster has made numerous live appearances in Denmark, Norway, Sweden, England, The Faroe Islands, Germany, and Poland at regular music clubs and festivals such as Roskilde Festival, Fanø Free Folk Festival, Apple Flower Festival, Kamerad & Spelemann, and many others, and also at more unusual venues such as a light house on the west coast of Denmark, a theater in London, a wooden barn deep inside the forests of Norway, a church on the Faroe Islands, the old Carlsberg brewery building, the Louisiana art museum, a grotto north of the Polar Circle, and various other exciting and beautiful places.