$Cu_2O$ nano cubes with high catalase activity were synthesized by reduction of freshly prepared Cu in distilled water at $40^{circC}$ and their catalase activities of $H_2O_2$ were studied. Transmission electron microscopy (TEM) observation showed that most of these nanocubes were uniform in size, with the average edge length of 30 nm. Selected area electron diffraction of TEM revealed that the nanocube consisted of single crystalline $Cu_2O$, but it changed to CuO phase. The catalase activity depends on the amount of both cuprite phase and surface area.