Three-phase model of spherical particle reinforced composite with imperfect interface was theoretical analyzed in this paper, in which the compatibility of deformation of imperfect interface was described in tangential and normal compliances. The distribution of stresses components in each phase of three-phase model was given. The stresses mutations in perfect and imperfect interface were calculated because of mutation of material properties and slip of interfaces. The influence to stresses mutation caused by interface compliances changing was researched. And influence to load-carrying ability caused for imperfect interface by fraction of each phase was discussed.