Abstract: Two-pulse bidirectional propagating amplification architecture, which has great application value in the field of inertial confinement fusion laser driver, is a new type of multi-pass amplification. To solve the problem of correcting two-pulse wavefront distortion with deformable mirrors in cavity position, this paper presents a coupling correcting method with double deformable mirrors and double Hartman-Shack sensors by the way of stitching two-pulse wavefront before compensating. Numerical simulations is carried out with the data of Shenguang-Ⅲ facility. As the result, the coupling correcting technology can effectively control both of two-pulse wavefront distortion and far-field energy distributions in spatial filter pinholes. The conclusion will provide theoretical guidance for designing and building adaptive optics system with two-pulse bidirectional propagating amplification architecture.