Swedish municipal adult education has many providers. The overall responsibility for this service still lies with the municipalities, entailing the enactment of national policy with respect to providers. This study puts focus on the discursive enactment of policy concerning quality in adult education. Five discourses on quality are identified through interviews with school leaders, teachers, and students, namely that quality is about formal demands and processes, that it is a matter of student focus, that it is about teachers’ competence and working conditions, that it is about teaching, and that quality depends on the student group. School leaders focus on formal and organisational aspects of quality, while teachers and students focus on actual processes in the classroom, connecting to their own work and lives. Compared to national policy, the local discourses are limited mainly to studying, teaching, organisation, and short-term outcomes, while long-term aims in national policy are less prominent.