In response to acute infection, naive CD8⁺ T cells expand, differentiate into effector cells, and then contract to a long-lived pool of memory cells after pathogen clearance. During chronic infections or in tumors, CD8⁺ T cells acquire an "exhausted" phenotype. Here we present genome-wide comparisons of chromatin accessibility and gene expression from endogenous CD8⁺ T cells responding to acute and chronic viral infection using ATAC-seq and RNA-seq techniques. Acquisition of effector, memory, or exhausted phenotypes was associated with stable changes in chromatin accessibility away from the naive T cell state. Regions differentially accessible between functional subsets in vivo were enriched for binding sites of transcription factors known to regulate these subsets, including E2A, BATF, IRF4, T-bet, and TCF1. Exhaustion-specific accessible regions were enriched for consensus binding sites for NFAT and Nr4a family members, indicating that chronic stimulation confers a unique accessibility profile on exhausted cells.