The invention provides a delta-sigma analog-to-digital conversion apparatus and a method thereof. The delta-sigma analog-to-digital conversion apparatus for receiving an analog input signal to generate a digital output signal includes a subtracting unit, a quantizer, a feedback unit and a transition function compensation unit, wherein the subtracting unit is utilized for performing a subtraction function to generate a subtracted signal according to the analog input signal and a feedback signal; the quantizer is coupled to the subtracting unit and utilized for performing quantization to generate a quantized signal according to the subtracted signal, the feedback unit is coupled between the subtracting unit and the quantizer, and utilized for providing the feedback signal to the subtracting unit according to the quantized signal, the transition function compensation unit is coupled to the quantizer and used for compensating the transition function variation of the quantized signal and generating a digital output signal, the subtracting unit is arranged to reduce signal input swing of the quantizer. All the delta-sigma analog-to-digital conversion apparatus and the method thereof can effectively improve system stability, improve operation speed, and reduce energy consumption.