The fine modeling analysis of wavefront error is carried out based on assembly structure and profile accuracy characteristic of typical large aperture laser transmission mirror in high power solid-state laser driver of inertial confinement fusion system. Wavefront error models of roughness，ripple and profile are studied. To control the wavefront error caused by mounting force in assembly process within a reasonable range, a method combined root-mean-square(RMS) gradient and peak-to-valley (PV) value is proposed. Experiments are carried out to verify the feasibility of the proposed method. The study provides scientific instruction for wavefront error control in assembly process of large aperture mirror in SG-III host device.