Rannveig has worked in social service in Iceland since 1986 mostly as a director. For the last nine years she has been a director of the Family and child service of Hafnarfjörður and she is a member of the executive management of the municipality. For the last three years she has been the chair of the Icelandic Association of Social Service Directors. Rannveig has an active participation in policy development at both local and central government levels. She is a social worker and have a master degree in public administration.