Introduction: Obstructive sleep apnea-hypopnea syndrome (OSAHS) is a frequent pathology worldwide whose main mechanism is a complete or partial obstruction of the upper airway. One of the pathophysiological mechanisms described in primary open-angle glaucoma is that hypoxia in the optic nerve progressively destroys the retinal cells leading to the onset and/or aggravation of glaucoma. The aim of the study was to evaluate the risk of OSA in patients with primary open-angle glaucoma. Methodology: An analytical study was conducted from January to May 2020 at the UHC. After obtaining ethical clearance, 112 patients including 50 glaucoma patients (44.64%) and 62 in the control group were enrolled. Sociodemographic and clinical data were collected from the medical records of the participants, with or without glaucoma, and a questionnaire was administered and a clinical examination performed. The STOP BANG score was used to determine the risk level of OSAHS. Statistical analyses were performed using Epi Info version 7.2. Results: A female predominance was found (60%) in the glaucoma group with a mean age of 55 ± 17 years against 49 ± 18 years in the control group. The high risk of OSAHS was more associated with glaucoma patients. In glaucoma patients, an association was found between high risk of OSAHS and snoring ; p = 0.029) as well as insomnia ; p = 0.030). Conclusion: High risk of OSAHS was found in participants with chronic open-angle glaucoma. Signs of OSAHS should be sought in chronic open-angle glaucoma as it may be a factor in its progression.