Optical characteristics of the two-layer micro-sphere cavity are studied based on the method of separation of variables. The affection of the position and size of the inclusion and the incidence angle of the plane wave to the morphology-dependent resonance (MDR) position and profile is analyzed through the calculation of the scattering efficiency and asymmetry factors of the two-layer sphere. The results show that the position and size of the inclusion affect the MDR of eccentric sphere. Through the computation of the angle-averaged internal intensity, it is found that the MDR position and profile will be greatly affected by the incidence angles of plane wave when the inclusion is located near the position of concentrated intensity.