This Letter presents a low-residual-offset second-order sigma-delta modulator. By inserting a chopper working at low frequency to the mirrored integrator at the first stage of the modulator, the original residual offset is transferred to a high frequency, which can be removed by the filter. Besides, by applying the second-order fractal sequence as the timing of the new added chopper, the residual offset accumulation problem due to the integration at the second stage can be avoided. To evaluate the effect of residual offset suppression conveniently, a programmable timing is integrated to the design to control the state of the added chopper. The presented modulator is fabricated in a 0.18 um CMOS technology, the core area of which is 0.38 mm 2 . Based on the measurement results, the DC offset of the sigma-delta modulator with the proposed method is reduced by 85.6 μV. The modulator realizes 64.8 dB dynamic range with 1 MHz sampling rate, which consumes 0.96 mW from a 3.3 V supply.