The method and apparatus for measuring response time of liquid crystal includes controlling temperature of a liquid crystal display panel, generating a liquid crystal driving signal having a variable voltage level that is changed according to a response property of the liquid crystal display panel and a target voltage level, and supplying the liquid crystal driving signal to the liquid crystal display panel, detecting the response property corresponding to the liquid crystal driving signal, and adjusting the variable voltage level until the response property reaches a desired level and setting a modulated data substantially equal to the variable voltage level when the response property reaches the desired level, the modulated data based on temperatures being determined by changing the temperature of the liquid crystal display panel. Also, method and apparatus for driving a LCD device using the above-described method.