A theoretical study based on quasi-static approximation is performed to investigate the location-dependent local field enhancement around the dielectric shell-coated gold nanosphere. Our calculation results show that the local field distribution near a gold nanoparticle can be altered greatly by coating with a dielectric shell. Because of the polarizability of the dielectric shell, increasing azimuth angle along the inner surface leads to the increase of the local field, which is opposite to that of the outer surface. Furthermore, the location-dependent local field enhancement and resonance frequency at both the inner and outer surfaces can also be modulated by varying the shell thickness and shell dielectric constant. These calculation results about the locationdependent local field enhancement show the potential of dielectric-coated metallic nanostructure for single-molecule detection based on surface-enhanced Raman scattering and surface enhanced fluorescence.