The invention provides a display device, a driving method thereof, and an element substrate that a high image quality can be realized and a deterioration of a light emitting element can be improved. The invention includes a plurality of pixels arranged in matrix. Each of the plurality of pixels includes a light emitting element, a transistor, and an alternate current driving bypass element. The light emitting element and the transistor are connected in series and the alternate current driving bypass element and the transistor are connected in parallel.