Spring durum wheat is an important raw material for producing diverse products such as couscous, bulgur, bread, and pasta. The quality of the dough is significantly influenced by high-molecular-weight glutenins, the allelic status of which depends on the region and breeding program. In this study, a collection of 69 cultivars and promising lines of durum wheat were analyzed for the allelic state of Glu-A1 and Glu-B1 using SDS-PAGE and KASP PCR markers. Protein and gluten content, volume increase index, pasta breaking strength, general pasta estimation, SDS, and gluten index were measured for each accession based on a two-year field experiment in the Krasnodar region. The analysis revealed that the Glu-B1al, Glu-B1d, and Glu-B1z* alleles positively influence gluten index, with Glu-B1al increasing protein, gluten, and SDS content, whereas Glu-B1d decreased these traits. Glu-B1e, on average, decreased the gluten index and SDS value but did not affect protein or gluten content. The role of alleles affecting the gluten index and protein content in ensuring the quality of pasta in durum wheat breeding is discussed.