Disclosed are a touch power circuit and a touch display device in which an operational amplifier buffers an input pulse having a first voltage and a higher second voltage alternate, and uses the buffered input pulse to provide an output pulse. The operational amplifier includes a non-inverting input terminal to which the input pulse is supplied, an inverting input terminal connected to the output terminal, and an output unit driven according to a result of amplifying a difference between a voltage of the non-inverting input terminal and a voltage of the inverting input terminal and configured to charge and discharge the output terminal. The circuits and devices may further include an offset voltage applier configured to supply an offset voltage having a first polarity to the non-inverting input terminal and/or the inverting input terminal to level-shift the input pulse.