Elastic wave scattering of single spherical particle and the multiple scattering in particle-reinforced composite with imperfect interfaces are studied by the use of wave function expansion method. Four typical interfaces are obtained by appropriate selection of spring constants in the classical spring interface model, i.e. perfect interface, slide interface, rough interface and unbonded interface. The jump and continuous conditions of displacement vector and traction vector are used to derive the equation which the unknown expansion coefficients of the scattered wave field satisfy. Furthermore, the multiple scattering in composite reinforced by random distributed spherical particles is investigated. The effective velocity and attenuation of coherent waves and the dynamic effective moduli of composites are evaluated. The numerical simulation is performed for the SiC-Al composite. The influences of interface parameters on the scattering cross section, the effective velocity, the effective attenuation and the effective elastic moduli are discussed.