This paper examines how some Swedish parents constructed meanings of parenthood. The parents had completed a state-sponsored parenting programme and were interviewed about their experiences of the programme, their everyday lives, their need for support, ideas about the societal context, and their understandings of ‘good’ and ‘bad’ parents. The study was grounded in a discourse-analytical tradition and concepts from discursive psychology guided the analysis. When the interviewees described good parents as responsible and engaged, they related to dominant discourses where middle-class values of involvement and ideals of intensive motherhood intersect. The descriptions of bad parenting were also classed and gendered, representing bad parents as irresponsible and uncaring, as not setting limits, and as not spending enough time with their children. The parents represented themselves in various ways as responsible parents, i.e. an untroubled subject position, but also handled troubled parent positions related to notions of gender and social class.