Coding and noncoding single-nucleotide variants (SNVs) of EIF2AK3, which encodes an integrated stress response (ISR) kinase, may play a role in neurodegenerative disorders. We used a candidate gene approach to determine the correlation of EIF2AK3 SNVs with neurocognitive (NC) impairment (NCI), which can persist with viral suppression from antiretroviral therapy (ART) in people with HIV (PWH). This retrospective study of prospectively collected data included participants of the CNS HIV Anti-Retroviral Therapy Effects Research (CHARTER) cohort, after excluding participants with severe neuropsychiatric comorbidities. Genome-wide data previously obtained in the CHARTER cohort participants (n=1,047) were analyzed to interrogate the association of three noncoding EIF2AK3 SNVs with the continuous global deficit score (GDS) and global NCI (GDS≥0.5). Targeted sequencing (TS) was performed in 992 participants with available genomic DNA to determine the association of three coding EIF2AK3 SNVs with GDS and NCI. Analyses included univariable and multivariable methods such as analysis of variance and regression. Multivariable models covaried demographic, disease-associated, and treatment characteristics. The cohort characteristics were as follows: median age, 43.1 years; females, 22.8%; European ancestry, 41%; median CD4+ T cell counts, 175/µL (nadir) and 428/µL (current). At first assessment, 70.5% used ART and 68.3% of these had plasma HIV RNA ≤ 200 copies/mL. A minority of participants had at least one risk allele for rs6739095 (T,41.7%), rs1913671 (C,41.4%), and rs11684404 (C,39.4%). All three noncoding EIF2AK3 SNVs were associated with significantly worse GDS and more NCI (all p<0.05). By TS, fewer participants had at least one risk allele for rs1805165 (G,30.9%), rs867529 (G,30.9%), and rs13045 (A,41.2%). Homozygosity for all three coding SNVs was associated with significantly worse GDS and more NCI (all p<0.001). By multivariable analysis, the rs13045 A risk allele, current ART use, and Beck Depression Inventory-II (BDI) > 13 were independently associated with GDS and NCI (p<0.001). The other two coding SNVs did not significantly correlate with GDS or NCI after including rs13045 in the model. The coding EIF2AK3 SNVs were specifically associated with worse performance in executive functioning, motor functioning, learning, and verbal fluency. Coding and non-coding SNVs of EIF2AK3 were associated with global NC and domain-specific performance. The effects were small-to-medium in size but were present in multivariable analyses. Specific SNVs in EIF2AK3 may be an important component of genetic vulnerability to NC complications in PWH. Identification of host factors that predict NCI could allow for earlier interventions, including those directly modulating the ISR, to improve NC outcomes.