A sample hold circuit and a method for sampling and holding a signal are provided. The sample hold circuit includes a sample unit, a direct current (DC) voltage elimination unit, and a hold unit. When the sample hold circuit is in a first state, the sample unit samples an input signal, and the DC voltage elimination unit lowers a predetermined percentage of the DC voltage in the input signal sampled by the sample unit. When the sample hold circuit is in a second state, the DC voltage elimination unit eliminates the residual percentage of the DC voltage, and the hold unit outputs the alternating current (AC) signal in the input signal sampled by the sample unit.