Aim of the study was to assess the relationship between environmental tobacco smoke (ETS) and computed tomography-derived left ventricular global longitudinal strain (LV GLS) in patients with arterial hypertension. 103 non-smokers with AH were included in the study (age 67.73 ± 8.84 years). ETS exposure was assessed with the Second-Hand Smoke Exposure Scale (SHSES). LV GLS was measured on computed tomography using feature tracking technology. In accordance with SHSES scale patients were divided into subgroups: subgroup A—no ETS exposure, subgroup B—low ETS exposure, subgroup C—medium ETS exposure, and subgroup D—high ETS exposure. Peak of LV GLS was statistically significantly lower in subgroup D than in subgroup A. There was a negative correlation between the exposure to ETS expressed by the SHSES scale and peak of LV GLS (r = − 0.35, p < 0.05). Regression analysis showed that higher SHSES score, higher age, left ventricular hypertrophy, left ventricular diastolic dysfunction, and higher CAD-RADS are independent risk factors for lower peak of LV GLS values. On the contrary, the effective blood pressure control appeared to be independent protecting factor against lower peak of LV GLS values. In summary, there is an unfavorable weak relationship between ETS exposure estimated using the SHSES scale and LV GLS in hypertensive patients.