This research aims to know about the families’ reorganization processes from the moment of the finding of a child’s disability, especially in relation to the children’s care. A qualitative research was done using the technique of narrative interviews for the data collection. Two fathers and two mothers of disabled children were interviewed. They belong to classes A and B and are associates of a big Brazilian company. Their children present multiple disabilities which had been discovered at least five years ago. The data collected in the field research were discussed based on the analysis of the content in its thematic modality. They indicate changes and continuities in gender relations in reference to the care of the child with the prevalence of the mother and other women for that care but also with the participation of the father. They also show that, on one hand, the families’ reorganization processes for the necessary care were made easier by the help of social support networks. On the other hand, the same processes were hampered by the discrimination against disabled people and significantly affected by the inclusion of the children in continued support programs, which was only possible due to the parent’s social position and financial conditions.