Wheat (Triticum aestivum) is one of the three major food crops, along with rice and corn, and is the second most consumed crop after rice in Korea. However, the domestic production of wheat is insufficient, and the self-sufficiency rate is recorded in single digits. As wheat has a large genome size of 17 Gbp, and contains many repeated nucleotide sequences, it is difficult to conduct breeding studies and genome-based breeding lags behind that of other crops. To overcome the above challenges, we constructed a wheat core collection using simple sequence repeat markers that are suitable for the domestic cultivation environment with excellent reproducibility. Genetic diversity and population structure were analyzed using a core collection. Agricultural traits were evaluated in the Korean wheat core collection. Single marker analysis was correlated with 21 agricultural traits to identify potential molecular markers. These results may be useful for wheat breeding programs in the precision breeding era.