A display apparatus includes a display panel, a gate driver, a gray scale compensator, and a date driver. The gate driver sequentially applies gate data to the gate lines. The gray scale compensator compares the primitive gray scale data of the n-th frame with the primitive gray scale data of the (n−1)-th frame to output a compensated gray scale data of a n-th frame, when a primitive gray scale data of a (n−1)-th frame is lower than a gray scale data of a first gray scale and a primitive gray scale data of the n-th frame is higher than a gray scale data of a second gray scale. The date driver converts the compensated gray scale data into a date voltage corresponding to the compensated gray scale data and applies the data voltage to the date line. Therefore, response time of the liquid crystal molecules may be reduced.