The disclosure provides an integrator, a touch display device, and a driving method therefor which can perform amplification and integration functions together. The integrator includes an amplifier having a non-inverting input terminal to which a reference signal having a pulse waveform is supplied; at least one feedback capacitor; a first path switching unit configured to connect the feedback capacitor between an inverting input terminal and an output terminal of the amplifier during a rising period of the reference signal; and a second path switching unit configured to connect the feedback capacitor between the inverting input terminal and the output terminal of the amplifier during a falling period of the reference signal, wherein, during each of the rising period and the falling period of the reference signal, a voltage difference between the reference signal and a signal applied to the inverting input terminal of the amplifier is amplified and accumulated, and the amplified and accumulated voltage difference is output.