Abstract: Anigiogenesis is controlled by administering to a mammal an effective amount of an inhibitor of arylsulfatase. Preferably, the arylsulfatase inhibitor is administered in a pharmaceutically acceptable vehicle in combination with an angiostatic steroid and (optionally) heparin (by which term we include all forms and fragments of heparin having the desired angiostatic activity). Hydrocortisone is one specifically preferred steroid. The preferred arylsulfatase inhibitor is a carboxylic acid ester or a sulfuric acid ester of a benzylic alcohol, most preferably the esters defined more particularly below. The arylsulfatase inhibitor is preferably administered locally to the tissue experiencing undesired angiogenesis. Arylsulfatase inhibitor and an angiostatic steroid are included in a pharmaceutically acceptable vehicle, preferably also with heparin, to yield an angiostatic thereapeutic composition.