Pure titanium TA2 alloy was tested by Split Hopkinson Pressure Bar (SHPB) under uniaxial dynamic compression conditions with different strain rates and room temperatures. Adiabatic shear bands were found in the specimens by metallographic after compression tests. As a result, we found strain and strain rate were so important for the initiation of shear bands. A critical strain must be arrived when the shear bands occur, and the larger strain rate, the smaller critical strain.