Tissue adhesives have raised much attention from scientists in recent years. They have been extensively utilized in various medical fields, such as wound closure, due to the advantages of being simple, time-saving, and avoiding the problems and complications associated with surgical sutures. Besides, the tissue adhesives can absorb wound exudates and promote tissue repair. The rapid evolution in the field of tissue adhesives has resulted in the development of various adhesives with excellent mechanical properties and superior functions. However, many challenges still restrict their use in numerous clinical applications. In this paper, we present an up-to-date review of tissue adhesives for wound closure. We mainly discussed the fundamental design requirements for the adhesives, the fabrication of tissue adhesives, and the application of tissue adhesives on skin healing, corneal patch, and gastrointestinal tissues. We then highlighted the current challenges and unmet needs and delineated potential new clinical development directions for future adhesives. The progress in tissue adhesives will provide novel approaches for wound management and has the potential to supply effective treatments for a variety of medical applications.