A sample-and-hold amplification circuit comprises an amplifier, a first sample-and-hold unit, and a second sample-and-hold unit. The amplifier has an input terminal and an output terminal. The first sample-and-hold unit is coupled to the input terminal and the output terminal. The second sample-and-hold unit is coupled to the input terminal and the output terminal. When the first sample-and-hold unit is arranged to perform a sampling operation, the second sample-and-hold unit performs a holding operation, and when the first sample-and-hold unit is arranged to perform the holding operation, the second sample-and-hold unit performs the sampling operation.