The invention relates to polycyclic thiazolidin-2-ylidene amines and their physiologically tolerated salts and physiologically functional derivatives. Polycyclic thiazolidin-2-ylidene amines of the formula I, in which the radicals have the stated meanings, and their physiologically tolerated salts and processes for their preparation are described. The compounds are suitable, for example as anorectics and in the treatment or prophylaxis of type II diabetes.