The present invention relates to a method of inhibiting angiogenesis in mammalian tissue which comprises supplying to the tissue a composition comprising an effective amount of epigallocatechin-gallate, epicatechin gallate or a combination thereof. The method is particularly useful in the treatment of angiogenesis-related skin conditions in which the catechin is applied topically, such as the treatment of various skin cancers, psoriasis, spider veins or undereye circles.