Abstract: In tomosynthesis,projection data are acquired from limited view angles,which is a severely ill-posed inverse problem.Based on the model of tomosynthesis,the system equation is presented.After regularizating the system equation,an adaptive wavelet Galerkin method is proposed to reconstruct images in tomosynthesis.The method combined the numerical simplicity of Galerkin method with the inherent scale multiplicity characteristic of wavelet which is more adaptable to the resolution of the reconstructed image.Compared to the ART reconstruction,the results demonstrate that the reconstruction strategy has comparable performance with the improvement of the convergence speed and the reduction of computational time.