The present invention relates to new spiroepoxide tetrahydrobenzo-triazole and - imidazole compounds, a method for their production and their use as MetAP-II inhibitors, which are particularly useful as inhibitors of angiogenesis. The compounds are characterized by formula (I)X=CorNR1 = OC(O)R2 where R2 is alkyl, cycloalkyl, aryl, heteroaryl, or cinnamyl orR1 = OC(O)NHR3 where R3 is alkyl, cycloalkyl, aryl, or heteroarylorR1 = NHC(O)OR4 where R4 is alkylorR1 = OH, NH2R5 = alkyl, cycloalkyl, CH2R6 where R6 is aryl or heteroaryl