The response functions of direct-detection Doppler wind lidar at different atmospheric temperatures are simulated based on the principle of the Rayleigh Scattering Doppler wind lidar with the double-edge-technique. The wind speed errors induced by temperature profile changes are analyzed. It is shown that atmospheric temperatures have great impacts on the response functions,and at larger wind speed the temperature will produce greater wind speed error. In order to obtain a reasonable wind speed accuracy,the accurate temperature distribution of atmosphere is required. In this simulation,a formulation to estimate the wind speed errors at different temperatures and wind speeds caused by temperature errors is obtained.