T cell receptor sequence data of 26 people living with HIV on long-term anti-retroviral therapy, and 12 HIV-negative healthy controls, produced using the UCL Chain lab protocol. All participants were Caucasian male adults recruited from London, UK. People living with HIV were on anti-retroviral therapy for a median of 8.5 years (interquartile range 3-16 years). They had undetectable plasma HIV viral load (<40 copies/ml) and median circulating CD4 counts of 703 cells/microliter (interquartile range 491-841 cells/microliter).Details of the study are provided in Turner et al, Front Immunol 2021 (10.3389/fimmu.2021.634489).The processed data files were generated using Demultiplexor, Decombinator and Collapsinator modules v3.1 (https://github.com/JamieHeather/Decombinator) and CDR3translator module v4 (https://github.com/innate2adaptive/Decombinator).The raw data files are available at the NCBI Sequence Read Archive, accession number PRJNA613091.