The Cu oxide nano powders were synthesized by levitational gas condensation (LGC) method and their high heterogeneous catalytic effects of oxidation of 2,3,5-trimethyl-1,4-hydroquinone (TMHQ) and catalase activity were studied. The nano powders consist of mainly $Cu_2O$. The catalytic effect which was clarified by the oxidation of TMHQ and the activity of catalase, was found to depend on the amount of $Cu_2O$ phase and the particle size.