Nanoindentation tests have been performed for Cu50Zr43Ti7 bulk metallic glass with a Berkovich indenter and a cube-corner indenter, respectively. It is found that the measured hardness (H) of (6.5±0.2) GPa and the elastic modulus (E) of (114.4±2.1) GPa are independent of the indenter tip shape and the applied indentation loads used in the tests. Many shear bands were observed around the impressions by the cube-corner indenter if compared to with the Berkovich indenter for the alloy without the indentation-size effect (ISE) and strain hardening during the indentation tests. The yield strength (s) of the alloy is about 1.8 GPa by finite element (FE) calculation, good agreement with the experimental results.