The ARR-B gene family is a positive regulator of cytokinin signal transduction and plays an important role in plant growth and development and resistance to abiotic stress. However, there are few studies on the ARR-B gene family in wheat. In this study, 25 ARR-B gene family members were identified from wheat genome, and their physicochemical properties, gene structure, cis-acting elements and abiotic stress-induced expression patterns were analyzed by bioinformatics methods. The results showed that all ARR-B genes exist in the nucleus, and the secondary structure of ARR-B protein is mainly α-helix and random crimp. ARR-B genes were not evenly distributed on wheat chromosomes, and the number of ARR-B genes was the highest on chromosome 7. In addition, multiple cis-acting regulatory elements related to growth and development, hormone response, and biological and abiotic stress have been identified in the promoter region of ARR-B. qRT-PCR analysis showed that the relative expression of TaARRM-like9、TaARRM-like10、TaARRM-like12 and TaARRM-like13 were significantly up-regulated under drought、salt and low temperature stress, which could respond to abiotic stress. This study laid a foundation for further research on the role of ARR-B transcription factor in plant development and wheat abiotic stress response.