Surgical therapy of Graves' orbitopathy comprises orbital decompression as well as strabismus and lid surgery. The former is primarily carried out during active disease, the latter during inactive disease. Orbital decompression abates increased intraorbital pressure and is thus applicable against dysthyroid optic neuropathy and also reduces exophthalmos. The choice of a specific procedure depends mainly on the experience of the respective center. In this article, the pterional transcranial, transnasal transethmoidal, transconjunctival and swinging eyelid approaches are presented. Eye muscle recession relieves the abnormal tension of fibrotic muscles and thus corrects diplopia. Compared to normal strabismus surgery, the dose-response relationship is increased. Lid lengthening surgery is applied to counter upper or lower lid retraction. If several of these operations are necessary the order is chosen in such a way that downstream procedures cannot change specific results of upstream operations.