A broad range of SNP markers associated with diseases and pathogenically significant features were identified in noncoding regions of the human genome. The mechanisms that underlie their associations are a pressing problem. A number of associations was previously observed between polymorphic variants of DNA repair proteins genes and common diseases. To clarify the possible mechanisms of the associations, a detailed annotation of the regulatory potential of the markers was carried out using online resources (GTX-Portal, VannoPortal, Ensemble, RegulomeDB, Polympact, UCSC, GnomAD, ENCODE, GeneHancer, EpiMap Epigenomics 2021, HaploReg, GWAS4D, JASPAR, ORegAnno, DisGeNet, and OMIM). The review characterizes the regulatory potential for the polymorphisms rs560191 (of the TP53BP1 gene), rs1805800, rs709816 (NBN), rs473297 (MRE11), rs189037, rs1801516 (ATM), rs1799977 (MLH1), rs1805321 (PMS2), and rs20579 (LIG1). General characteristics of the markers are considered, and data are summarized to describe their influence on expression of their own and co-regulated genes and binding affinity of transcription factors. The review additionally considers the data on adaptogenic and pathogenic potentials of the SNPs and co-localized histone modifications. A possible involvement in regulating the functions of both their own and nearby genes may explain the associations of the SNPs with diseases and their clinical phenotypes.