Joint diagonalization can solve the problem of the blind source separation(BSS) approach. However, the method may converge to some unexpected singular solutions, thus the separation process fails in the end. Therefore, a blind source separation method based on the joint diagonalization approach for the linear convolutive mixing model is proposed. In the proposed method, the convolutive mixing model is firstly transformed to the instantaneous mixing model. Then a joint
diagonalization method is applied on the transformed model in order to compute out the separating matrix. Meanwhile, in the process of diagonalization, a constraint condition is introduced for the limitation of the class of the separating matrices such that the singular solutions are avoided. Simulation results show that the proposed method can realize BSS of convolutive mixture signals successfully.