In order to acquire the mechanical properties and constitutive relations of Zr-based amorphous reactive material under dynamic loading， the specimens were made by pressure infiltration casting， and the dynamic compression experiments under loading with different stain rates were conducted with the split Hopkinson bar （SHPB） test system. The stress-strain curves were acquired under different strain rates of 300-1600 s^-1， and a high-speed camera was used to record the fracture and energy output process of the specimens under different strain rates. Results show that the Zr-based amorphous reactive material belongs to brittle materials that no yielding stage exists in stress-strain curves. With the increase of strain rates from 947 s^-1 to 1587 s^-1， the compressive strength of materials increases from 2.71 GPa to 2.78 GPa with a small increase of 2.6%， while the fracture strain decreases from 0.032 to 0.028 with a decrease of 12.5%. The degree of fracture and reaction of the specimen is more evident with higher strain rate and the strain softening phenomenon occurred during the fracture of materials. According to experimental data， a one-dimensional elasto-brittle constitutive model with damage was fitted for the Zr-based amorphous reactive material before the fracture failure of specimens.