The piezoelectric film has an inherent nonlinear hysteresis response to the piezoelectric effect, and the sound wave has a shear wave component that propagates toward the edge, both of which will cause energy loss of the sound wave. In this paper, a single-crystalline aluminum nitride thin film bulk acoustic wave resonator (SABAR) with an edge air layer structure is designed, which can reduce the electromechanical loss of nonlinear hysteresis, prevent the leakage of shear wave energy, and improve the quality factor of the resonator. COMSOL is used to conduct finite element simulation of the device, and a resonator with an edge air layer structure was successfully prepared for testing and verification.