The Nikita Botanical Garden (NBG) has a unique Prunus L. collection (peach, apricot, plum, cherry) comprising more than 3000 accessions. NBG is also a breeding center for stone fruits, including peach (Prunus persica (L.) Batsch). In the present study a set of 85 peach cultivars bred in NBG, Europe, and North America was analyzed using 12 SSR markers to assess their genetic diversity and relatedness. The detected polymorphism level was comparable to the previous estimates of genetic variability in peach cultivars. The average number of alleles per locus was 5.67, PIC value averaged 0.49, expected, and observed heterozygosity averaged 0.52 and 0.31, respectively. Among the detected alleles, 19 (27.94%) were rare and 12 (17.65%) were unique. All studied accessions except two could be identified with the used marker set. Cluster analysis revealed some groups according to the cultivars’ pedigrees. No clear differentiation of the studied sample according to geographic origin or fruit characteristics of peach cultivars was revealed. The results provide valuable information for identification and rational management of the material preserved in the NBG peach collection.