The present invention relates to a driving circuit for a liquid crystal display and a driving method thereof. A signal controller of the driving circuit generates a data signal according to an input image signal input to the display device, generates a clock signal according to the input control signal, and generates a differential pair image signal by modulating the clock signal to the data signal. Here, a data signal period of the differential pair image signal and a clock signal period are converted with a different level and are output. A data driver of the driving device receives the differential pair image signal, divides the data signal and the clock signal from the differential pair image signal, and generates a data voltage by sampling a data signal by using the clock signal.