Tissue adhesives formed by reacting poly(hydroxylic) compounds derivatized with acetoacetate groups and/or polyamino compounds derivatized with acetoacetamide groups with an amino-functional crosslinking compound are disclosed.The use of the tissue adhesives for medical and veterinary applications such as topical wound closure and surgical procedures, such as intestinal anastomosis, vascular anastomosis, tissue repair, and ophthalmic procedures drug delivery and anti-adhesive applications are described.