When an incident pulse is input obliquely with certain orientation of the reciprocal lattice vector in a resonant photonic crystal, the so-called Laue diffraction will be created. In this paper, the propagation dynamics of Laue solitons is theoretically researched, and is verified through numerical method. The results show that the incident pulse will give rise to four diffracted modes due to the nonlinear diffraction, in which the propagation dynamics of Laue solitons within the structure is similar to that of the solitons in a normal resonant medium.