Considering the prevalence of arterial hypertension among the elderly, the present study analyzes their perception of health needs, in a qualitative way, from focal groups with elderly users of Family Health Units. Data analysis was performed according to the hermeneutic-dialectical perspective and resulted in three nuclei of meaning: recognizing the possibility of having access to basic health care together with the desire to consume services of greater complexity and understanding the shortcomings of the State; attachment and welcoming as fundamental elements in the feelings of support and security and autonomy permeated by the tranquility to deal with the disease and the difficulties imposed by conditions inherent to the subjects' life style. Therefore, it is understood that the Family Health Strategy has been complying with its role in terms of the access to the healthcare system and regarding the professional-user attachment. However, health care continues to be centered on the disease rather than the individual.