This study aimed to describe the process of construction of narrative speech in children with Downs Syndrome, by showing the existing characteristics in narrative, relating Labovs structural perspective (1972) to perronis interactional pespective (1992), comprehending, this way, the processes that compox the ability of speech of people with Downs Syndrome and the similarities anddifferences that exist between personal reports and stories. Students with Downs Syndrome, aging between 8-12 years old and enrolled at Ulisses PernambucanoSpecial School, where data was collected. This data was transversal, throughout school semester,and collected by video recordings twice a month. The narrativeconstruction of these children was observed in interactive situations in storytelling and self-reporting classrooms. The results show that the structural perspective is not enough for the constructive process found at the analyzed data; however, an interactional perspective allows to understand the richness of the involved processes in the narrative constructions by these children on and on.