Histone deacetylases (HDACs), widely found in various types of eukaryotic cells, play crucial roles in biological process, including the biotic and abiotic stress responses in plants. However, no research on the HDACs of Fagopyrum tataricum has been reported. Here, 14 putative FtHDAC genes were identified and annotated in Fagopyrum tataricum. Their gene structure, motif composition, cis-acting elements, phylogenetic relationships, protein structure, alternative splicing events, subcellular localization and gene expression pattern were investigated. The gene structure showed FtHDACs were classified into three subfamilies. The promoter analysis revealed the presence of various cis-acting elements responsible for hormone, abiotic stress and developmental regulation for the specific induction of FtHDACs. Two duplication events were identified in FtHDA6-1, FtHDA6-2, and FtHDA19. The expression patterns of FtHDACs showed their correlation with the flavonoid synthesis pathway genes. In addition, alternative splicing, mRNA enrichment profiles and transgenic analysis showed the potential role of FtHDACs in cold responses. Our study characterized FtHDACs, providing a candidate gene family for agricultural breeding and crop improvement.