Adenylate kinase (ADK) is a key enzyme in maintaining energy metabolism and balancing the size of various adenylate pools. This class of enzymes catalyzes reversible transphosphorylation reactions and plays an important role in cellular energy balance. It plays an important role in the regulation of growth and development and adaptation to the environment. At present, the function of ADK enzyme has been confirmed in Arabidopsis, Oryza, Solanum lycopersicum and other plants, but there are few reports on wheat ADK related research. In order to reveal the characteristics and expression of ADK gene at the wheat genome level, the properties, structure, evolution, tissue expression and stress expression of this family gene and its encoded protein were analyzed by means of bioinformatics. In this study, 33 TaADK genes were identified on 17 chromosomes of wheat, encoding protein amino acids 207-639aa, and were predicted to have chloroplast, cytoplasmic and mitochondrial localization. The TaADK family was divided into three subgroups according to protein conservation. The phylogenetic analysis of Arabidopsis, rice, tomato and wheat found that the family genes underwent their own evolution after the divergence of monocotyledonous plants. The plants of wheat and rice are closely related. The protein structure analysis showed that the domain constituting ADK (PF00406) was shared by all family proteins, and the gene structure was also conserved to a certain extent. Most genes contained 5-8 exons. The expression of TaADK family genes has a certain spatiotemporal specificity in tissues during the growth period, and the overall expression level is not high. Among them, TaADK2 and TaADK8 genes are highly expressed in various tissues such as roots, stems and leaves, while TaADK13 and TaADK18 are up-regulated in most tissues. The expression levels of other members of the family are not much different, which may play a synergistic role in regulating the growth and development of wheat. The results of stress expression analysis showed that most TaADK genes were not expressed or down-regulated under stress conditions, while some genes showed an up-regulation trend under heat stress, especially TaADK11 and TaADK27 were up-regulated. TaADK23 and TaADK31 have a certain response to low temperature, indicating that this family of genes may be involved in abiotic stress response, which is expected to provide candidate genes for molecular breeding of wheat.