Provided is a method for driving an electroluminescence display panel in which data electrode lines and scan electrode lines cross each other with predetermined gaps to form electroluminescence cells in the crossing areas. The method includes performing a preliminary charging stage in which the signal input terminals of the data electrode lines are switched and electrically disconnected from a data driving unit, and the other terminals of the data electrode lines are switched and electrically connected to one another in the initial stage of each parallel driving period. The preliminary charging stage is performed in the following parallel driving period when the data of the present parallel driving period and the data of the following parallel driving period are different.