Peer assessment is a relatively new approach, especially in music higher education where there seems to be a resistance to changes which give more control of the assessment process to student and, apparently, less to lecturers. At Kingston University peer assessment has been introduced into a number of modules on the BA (Hons) in music and also the BEd (Hons – music specialism) courses. These include: performance; music, performance and communication (a community based performance project); music and business; and composition. The latter is the main focus of this paper, although some of the observations are applicable to other curriculum areas. The main purposes of the study have been to evaluate student attitudes towards peer assessment, to identify features which have been successful, and to identify features which could be improved.