Oriental persimmon (Diospyros kaki) originated in Eastern Asia and many local landrace cultivars have been developed in China, Japan, and Korea. In these countries, persimmon cultivars had been developed initially from chance seedlings and subsequently by bud mutants and crossbreeding. At present, crossbreeding, particularly pollination-constant non-astringent (PCNA) breeding, is being conducted mainly in Japan, Korea, China, Italy, Uzbekistan, and Spain. In Japan, the crossbreeding program started at the national institute in 1938 with the aim of releasing PCNA cultivars with early ripening, high quality, and less-cracking characteristics. So far, 12 PCNA and two PVA cultivars for table use have been released by the institute. Because the PCNA genotype is recessive to the other three non-PCNA genotypes and recessive PCNA alleles are not accumulated in most cultivars, crosses between PCNA and local non-PCNA local cultivars produce only non-PCNA F1 offspring. Therefore, PCNA-type F1 offspring are obtained exclusively by crosses among PCNA genotypes, Thus, crosses among PCNA are the most efficient method for obtaining PCNA offspring. However, the number of superior PCNA cross-parents is limited. Consequently, inbreeding depression became obvious in the program in the late 1980s, especially in fruit size, tree vigor, and productivity. To overcome inbreeding, a backcross program [(PCNA × non-PCNA) × PCNA] was started in the 1990s. This process, however, was time-consuming and inefficient because only 15% of PCNA offspring were segregated from the crosses. Therefore, molecular markers linked to PCNA/non-PCNA locus were developed for discriminating PCNA and have been applied to practical breeding in Japan. Chinese PCNA, which has a different origin and mechanism of removal of astringency from the Japanese PCNA, is dominant to the non-PCNA trait. The molecular marker linked to the Chinese PCNA has also been developed. The marker for discriminating Chinese PCNA has also been applied to practical breeding in Japan and China. Persimmon breeding has been conducted at several institutes around the world, including the Huazhong Agricultural University in China, Sweet Persimmon Research Institute, Gyeongsangnam-do Agricultural Research and Extension Service, and Pear Research Station, National Institute of Horticultural & Herbal Science in Korea, University of Florence in Italy, Instituto Valenciano de Investigacions Agrarias in Spain, Nikita Botanical Garden, Nova Kachocka Experimental Research Station, and Grishko Botanical Garden in Ukraine, and Instituto Agronomico, Campinas, State of Sao Paulo in Brazil, with goals for releasing highly adaptable cultivars in each country.