The invention discloses a high-linearity sigma-delta closed loop accelerometer interface circuit and belongs to the field of MEMS inertial components. The problems that an existing sigma-delta closed loop accelerometer interface circuit is low in loop gain, a sensitive structural weight block is large in displacement, so that charge voltage converting nonlinearity is increased, and an output signal harmonic component is enhanced are solved. A micro-machine accelerometer sensitive structure is connected with a phase compensation circuit, a first-level integrator circuit, a second-level integrator circuit, a summing circuit and a comparator through a charge detecting/correlated double sampling hold circuit. An output end of the comparator is connected with a weight block feedback end of the micro-machine accelerometer sensitive structure. The output end of the comparator outputs a system bit stream signal. Compared with a traditional feedback structure, system loop gain is greatly improved, static feedback force is increased, weight block displacement is reduced, nonlinearity of a signal detecting and processing circuit is lowered, and the performance of the sigma-delta closed loop accelerometer interface circuit is improved.