The present invention provides a method for driving a piezoelectric ink jet head that surely suppresses the ensuing vibration of the drive section while suppressing the flying speed of the ink droplet from decreasing, by setting the time constant .tau..sub.UP of rise of voltage when the drive voltage is applied and/or the time constant .tau..sub.DN of fall of voltage when stopping the application of the drive voltage are set in ranges that satisfy the relations of the expressions (i) and (ii): Ta/(-ln 0.01).ltoreq..tau..sub.UP.ltoreq.Ta/(-ln 0.25) (i) Ta/(-ln 0.01).ltoreq..tau..sub.DN.ltoreq.Ta/(-ln 0.25) (ii) with respect to the period Ta of the ensuing vibration of the drive section, or pulse width T.sub.3 of the drive voltage is set at an integral multiple of the period Ta of the ensuing vibration of the drive section.