This study aimed to assess the relationships between socioeconomic position, perceived stress and Health Related Quality of Life (HRQoL) of patients with hypertension. Data were obtained using the baseline survey of 258 patients from the Social Determinants and Inequities in the Control of Blood Hypertension Program (ProDSICHA). HRQoL was measured with SF-8 Health Survey. Socioeconomic position was measured using education, and the MacArthur Scale. Stress was measured with Perceived Stress Scale. A higher educational level was associated with a higher perception of stress (Coeff = 0.78, p = 0.019). Also, a lower position in the community was associated with a higher perception of stress (Coeff = −0.56, p = 0.027). A higher level of perceived stress was associated with a higher level of mental health (Coeff = 0.64, p = 0.000). No statistical differences were found in the relations between socioeconomic position and physical HRQoL. These findings warrant further research to understand the role of socioeconomic position in physical HRQoL.