Acoustic fatigue of thin-walled structures subjected to high intensity acoustic loadings belongs to random multi-axial fatigue, and the prediction for acoustic fatigue life is the basis of structural dynamics strength analysis and design. Aiming at the problem of sonic fatigue prediction for thin-walled struc tures with gaps, this paper mainly discussed the random fatigue life prediction method for thin-walled structures with gaps based on local stress-strain field intensity. The influences of both the local stress-strain gradient and multi-ax ial stress-strain on fatigue damage are considered simultaneously. As a numerical example, the thin-walled cylindrical shells with gaps are selected, based on the vibrational response analysis to acoustic excitation, the stress-strain field intensity spectrum in the local position of gap edges are calculated, and the fatigue life is estimated. Comparative analysis show that the method is of feasibility for acoustic fatigue prediction for thin-walled structures with gaps.