Despite the fact that many coinfections in people with HIV (PWH) are treatable or suppressible, they may still impact neurocognitive (NC) functioning. Here, we aim to evaluate the presence of latent/treated coinfections and their association with NC functioning in a cohort of PWH in Zambia. We carried out a cross-sectional, nested study involving 151 PWH with viral suppression, and a normative sample of 324 adults without HIV. Plasma samples from PWH who underwent a comprehensive NC assessment were evaluated for the presence of treated/latent coinfections that are common in Zambia. Information about treated pulmonary tuberculosis (TB) was obtained from participants' clinical charts. Overall, PWH differed significantly from the HIV seronegatives on all neuropsychological domains except for fine motor control. ANOVA comparisons of all 3 HIV + groups' demographically corrected mean NC T-scores showed that the HIV + /TB + group had the poorest NC functioning in the following domains: executive functioning (F = 4.23, p = 0.02), working memory (F = 5.05, p = 0.002), verbal fluency (F = 4.24, p = 0.006), learning (F = 11.26, p < 0.001), delayed recall (F = 4.56, p = 0.01), and speed of information processing (F = 5.16, p = 0.005); this group also was substantially worse on the total battery (global mean T-scores; F = 8.02, p < 0.001). In conclusion, treated TB coinfection in PWH was associated with worse NC performance compared to both those with antibodies against other coinfections and without. PWH with antibodies for other coinfections (HIV + /CI +) showed somewhat better NC performance compared to those without (HIV + /CI -), which was not expected, although comparisons with the HIV + /CI + group are limited by its lack of specificity regarding type of coinfection being represented.