The localized surface plasmon resonance (LSPR) properties of Au-interlayer-Ag multilayered nanoshells are studied by discrete dipole approximation (DDA) and plasmon hybridization theory. Concentric nanoshells with the metal core and nanoshell separated by an interlayer exhibit strong coupling between the core and nanoshell plasmon resonance modes. The coupled resonance mode wavelengths show a remarkable dependence on the Au core radius, refractive index of the surrounding medium, and different kinds of interlayer materials. If the interlayer is metallic, the contribution of the Au core to LSPR is suppressed, but a semiconducting interlayer can enhance the contribution. Calculation of the electric field enhancement shows that the location of the field enhancement is specified by different resonance patterns. The Au-ITO-Ag nanoshell shows strong near-field enhancement in several regions, especially in the infrared region, which have potential applications in surface-enhanced spectroscopy.