A dynamic beam propagation model of micro-vibrating spatial filters in inertial confinement fusion (ICF) facilities is built based on the additional beam in SG-II facility. The transfer matrix is then deduced, and the sensitivities of the beam positioning to the pellet in the target area to the vibrations of every spatial filter are analyzed, which indicates that the vibrations of spatial filters in the pre-amplify zone has less effects on beam positioning stability at the target. In addition, the vibrations of spatial filters in the main amplify zone dominates the beam positioning stability of the target, especially the vibration of the spatial filter SF₇.