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The compression properties of Zr41Ti14Cu12.5Ni10Be22.5, Zr44.4Nb7Cu13.5Ni10.8Be24.3 bulk metallic glasses and Ni77P23 binary amorphous alloy are investigated at room temperature up to 24 Gpa, 39GPa and 30.5 Gpa, respectively, using in-situ high pressure energy dispersive x-ray diffraction with a synchrotron radiation source.The pressure-volume relationship of Ni77P23 amorphous alloy is consistent well with the second order BirchMuaghan (B-M) equation within the experimental pressure range. However, under higher pressure, the experimental data of Zr-based specimens deviate from the B-M equation. Compare to the binary amorphous alloy,less excess free volume existing in the bulk metallic glass and multi-component atomic configuration results in a two-stage relationship between compressibility and pressure.