The possibility of treatment of endocrine exophthalmos by resection of orbital fat has been discussed by Olivari. The orbital fat is located in two spaces: the outer space which surrounds the extraocular muscles the anterior extensions of which form the palpebral bags, and the inner space which surrounds the optic nerve, being crossed by the oculomotor, abducens and trochlear nerves. The surgical anatomy of orbital fat is discussed and the preliminary results of the resection of orbital fat for treatment of the residual exophthalmos are presented.