The present invention relates to a sigma-delta analog-to-digital converter using a mixed mode integrator composed of an analog integrator and a digital integrator, which can prevent the performance degradation due to the saturation of an integrator of the overload of a quantizer. A sigma-delta analog-to-digital converter having an anti-aliasing filter, a sample and hold circuit, a sigma-delta modulator and a decimation filter comprises an overload estimating unit for judging the saturation or overload of an analog integrator; a mixed mode integrator which has the analog integrator and a digital integrator composed of a digital adder and a digital storing unit and integrates the output of the overload estimating unit in analog or digitally; and a quantization unit for converting the output of the mixed mode integrator to a digital signal.