Chromosomal integration of genome-intact HIV-1 sequences into the host genome creates a reservoir of virally infected cells that persists throughout life, necessitating indefinite antiretroviral suppression therapy. During effective antiviral treatment, the majority of these proviruses remain transcriptionally silent, but mechanisms responsible for viral latency are insufficiently clear. Here, we used matched integration site and proviral sequencing (MIP-Seq), an experimental approach involving multiple displacement amplification of individual proviral species, followed by near-full-length HIV-1 next-generation sequencing and corresponding chromosomal integration site analysis to selectively map the chromosomal positions of intact and defective proviruses in 3 HIV-1–infected individuals undergoing long-term antiretroviral therapy. Simultaneously, chromatin accessibility and gene expression in autologous CD4⁺ T cells were analyzed by assays for transposase-accessible chromatin using sequencing (ATAC-Seq) and RNA-Seq. We observed that in comparison to proviruses with defective sequences, intact HIV-1 proviruses were enriched for non-genic chromosomal positions and more frequently showed an opposite orientation relative to host genes. In addition, intact HIV-1 proviruses were preferentially integrated in either relative proximity to or increased distance from active transcriptional start sites and to accessible chromatin regions. These studies strongly suggest selection of intact proviruses with features of deeper viral latency during prolonged antiretroviral therapy, and may be informative for targeting the genome-intact viral reservoir.