The compressive strength of two kinds of titanium alloys was investigated in the temperature range from 78 K to 723 K and the strain rate range from 10-4/sec to 103/sec. The flow stress increased with the rise of strain rate and decrease of temperature. It was independent of temperature and strain rate history. The temperature change due to adiabatic heat generation was taken into account to evaluate the stress at high strain rates and provide a plausible explanation of the experimental results.