A mechanical model was established for modeII interfacial crack static growing along an elastic-elastic power law creeping bimaterial interface. For two kinds of boundary conditions on crack faces, traction free and frictional contact, asymptotic solutions of the stress and strain near tip-crack were given. Results derived indicate that the stress and strain have the same singularity, there is not the oscillatory singularity in the field; the creep power-hardening indexn and the ratio of Young’s module notably influence the crack-tip field in region of elastic power law creeping material andn only influences distribution of stresses and strains in region of elastic material. Whenn is bigger, the creeping deformation is dominant and stress fields become steady, which does not change withn. Poisson’s ratio does not affect the distributing of the crack-tip field.