Hypertension is related to the incidence of cardiovascular diseases. Family support is essential for the patient to control the disease. This study aimed to analyze whether the family positively contributes to the patient's control of the disease. The research was carried out in 2005 in Teresina, PI, Brazil and involved people who were enrolled in the Hypertension Program of an Integrated Health Center. Data were collected through individual interviews, using the Critical Incident Technique. After the content analysis, the element Consequence was identified in 146 references, 58 positive and 88 negative, composing four categories: Family, Financial, Health and Emotional Aspects. Difficulties in family relationships, patients' concern with their descendants, and the families' little involvement in the patients' care were identified through the reports.