A method of driving a crack detector of an organic light emitting display device according to example embodiments includes: determining an image load of a display panel with respect to image data corresponding to an emission period of the organic light emitting display device when it is driven according to a simultaneous emission driving method, calculating a first sensing value corresponding to a power current that flows into a power supply during the emission period, determining a first crack reference value based on the image load, and determining whether the display panel is cracked by comparing the first crack reference value with the first sensing value.