The present invention relates to a driving method for flicker suppression of a display panel and a driving circuit thereof. The driving circuit includes a source driving circuit and a common voltage generating circuit. The driving method includes driving the source driving circuit to generate at least one first source signal and at least one second source signal, the first source signal corresponds to at least one first pixel on a first scanning line; the second source signal corresponds to at least one second pixel on a second scanning line. The common voltage generating circuit generates at least one common voltage. While driving the first pixel and the second pixel to display the same gray scale image, the first source signal is not equal to the second source signal, or a first common voltage and a second common voltage generated by the common voltage generating circuit are different.