The results of high-molecular-weight glutenin subunit identification and allelic state determination of the Glu-1 loci in 105 spring common wheat accessions of various ecological and geographical origin are presented. A total of three alleles of the Glu-A1 locus, seven alleles of the Glu-B1 locus, and two alleles at the Glu-D1 locus were identified. Among the identified alleles, there are alleles that have a positive effect on the wheat grain and flour technological properties. Based on the high molecular weight glutenin profiles, 72 of the accessions studied were found to possess high baking quality potential. The allele frequency distribution of the Glu-1 loci among spring common wheat accessions originating from different geographic regions was determined. High frequencies of the Glu-A1b (0.65), Glu-B1 c (0.68), and Glu-D1 d (0.64) alleles were observed. It is suggested that the high frequency of the GluA1b and Glu-D1d alleles is most likely attributable to their positive effect on baking quality. In turn, it is hypothesized that the high frequency of the Glu-B1 c allele may be explained by its positive effect on yield or tolerance to adverse environmental factors, since this allele does not confer high potential technological properties. Population genetic analysis revealed relatively low genetic diversity at the loci studied (H= 0.45–0.48). At the same time, low intrapopulation diversity (μ) values were also recorded for individual homeologous loci: on average, 2.49 ± 0.05 alleles per Glu-A1 locus, 3.71 ± 0.14 alleles per Glu-B1 locus, and 1.96 ± 0.01 alleles per Glu-D1 locus. High genetic similarity among the geographic groups of spring common wheat accessions was shown with respect to the allele frequency distribution of the Glu-D1 locus. Similarity at the Glu-A1 and Glu-B1 loci was also substantial, although less pronounced. A trend toward reduced genetic diversity as a result of the breeding process was noted.