Tissue adhesives formed by crosslinking albumin and/or gelatin with certain polyamines and/or polycarboxylates using a water-soluble carbodiimide 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; anti-adhesive applications; and as a bulking agent to treat urinary incontinence are described.