This paper discusses the transformations undergone by Mexican families in the 20th century and how some internal dynamics unfolded with the increase in the individual life expectancy and the presence of functional incapacities in the older family members. It reflects on social and demographic changes in the families and on support and care strategies directed at elderly people who are ill and have functional limitations, based on calculations obtained from the Encuesta Nacional sobre Salud y Envejecimiento (2001). Although there are efforts on the part of health institutions and family arrangements to deal with this situation, this paper shows the strength and the weakness of the social protection systems regarding care and support for aged people with functional incapacity. It presents challenges and relevant action areas for public and non-public institutions. It proposes, based on this analysis, that institutions, families and the society should take active actions to support the elderly individual who undergoes the progressive deterioration of physical and mental faculties.