The progressive increase in HIV infection among older adults requires constant research and monitoring, given that geriatric syndromes associated with HIV comorbidities have become an important public health problem. We reported this systematic review according to the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA), and it has a central question: Is the incidence of cognitive impairment higher in older patients living with HIV than in their seronegative peers? The following databases were searched for this review: MEDLINE/PubMed, EMBASE, LILACS, Web of Science, and Scopus. The inclusion criteria were studies whose samples were ≥ 50% patients aged ≥ 50 years, with and without HIV, and a main outcome related to the incidence of cognitive impairment. Only cohort studies with follow-up lasting ≥ 24 months were considered. Three reviewers independently screened the documents for eligibility criteria, extracted the data, assessed the risk of bias (Newcastle-Ottawa Scale), and evaluated the quality of evidence. A narrative synthesis was prepared. In total, 10 798 trials were screened, 8884 were excluded, 14 were analyzed, and 5 were included in this review. Only 1 applied cognitive assessment tests; the rest used secondary data from the medical records. Most found that the incidence of cognitive disorders was higher among older people living with HIV, which highlights the need for public policies aimed at primary and secondary prevention strategies. Further research from other countries is still required. PROSPERO register (CRD42022321914).