The establishment of axisymmetric cohesive force element is an important method to conduct stress analysis of the bonding interface of vertical storage motor. The reference coordinate system was established on the deformed axisymmetric cohesive force element, and the transformation relationship between elemental node displacement in the reference coordinate system and the global coordinate system was derived. The internal force vector and the stiffness matrix of the element were derived based on the elemental separation displacement. The separation test of the axisymmetric bonding plate was carried out to verify the accuracy and efficiency of the axisymmetric cohesive force element. The structural analysis of solid rocket motor in vertical storage under axial acceleration and wave load has been carried out successively, and the magnitude and the distribution pattern of stress at the bonding interface have been studied emphatically. The research method and its conclusion can provide a useful reference for the structural analysis of bonding interface of solid rocket motor.