Biodegradable biomedical elastomers (DBE) have controllable biodegradability, excellent biocompatibility, customized elasticity, and good network design and processing performance, and have become indispensable materials in tissue repair. This review critically examines the latest developments in biodegradable elastomers for tissue repair, focusing on degradation mechanisms and evaluation, synthesis and crosslinking methods, microstructure design, processing techniques, and tissue repair applications. This review explores the material composition and crosslinking methods of elastomers used for tissue repair, addressing chemical challenges and structural design considerations. In addition, this article focuses on the processing methods of two-dimensional and three-dimensional structures of elastomers, systematically discussing the contributions of DBE processing methods such as solvent casting, electrospinning, and three/four-dimensional printing. In addition, we described the latest advances in tissue repair using DBE, including progress in regenerating different tissues (including nerves, tendons, muscles, heart, and bones), emphasizing their efficacy and multifunctionality. The review concludes by discussing the current challenges in material selection, biodegradation, biological activation, and manufacturing in tissue repair, and proposing future research directions. This concise and comprehensive analysis aims to provide valuable insights and technical guidance for the progress of organizational engineering DBE.