Qualitative study based on oral history of women's experiences and their companions during the process of labor and childbirth at a public maternity in Curitiba, Paraná State/Brazil. The study objectified to apprehend the experience of women and their companions during the childbirth process. Data collection was held between October, 2012 and May, 2013 by means of individual semi-structured interviews. The collaborators in the study were 11 women and 11 companions present during the childbirth process, and invited to participate in the research during the workshops of the university extension project "Preparation for childbirth companions". The interviews were recorded, transcribed and retextualized; after that, the vital tone was extracted. The collaborators checked the retextualized versions of the narratives and signed the Cession Letter. Data were thematically analyzed and separated in three themes: 1) experiences during the process of accompanied childbirth; 2) professionals' performance viewed by the women and their companions; 3) contradictions and obstacles during childbirth experience. In this study, it can be pointed out: women's choice for the presence of their husbands/partners; the reasons for that choice, such as safety, support and assuredness; childbirth experiences and the companions' role. Procedures for pain relief, respect for the women's choices on the positions during delivery, and some professionals' attitudes were pointed as facilitators during the accompanied childbirth process. Contradictions in the childbirth caring model as well as companions' constraints for their insertion in the childbirth process were found, among them, some restrictive situations of companions' access, organizational, structural aspects and some health professionals' behavior. Some practices point to care improvement rendered to women and their families during the childbirth process. It is concluded that companions' participation during the childbirth process under the current caring model still finds some hurdles for the full achievement of the humanized childbirth caring model advocated by the World Health Organization and Brazilian Ministry of Health.