<p>Arrays composed of metal nanoparticles can generate multiple surface lattice modes, which effectively suppress radiative losses and enhance light-matter interactions at the nanoscale across multiple spectral ranges. However, achieving multiple surface lattice modes with large tunability over a broad spectral range remains a challenge. This paper proposes a mechanism for exciting multiple surface lattice modes based on hybrid metal/dielectric/metal nanodisk arrays. The study demonstrates that the coupling between the electric and magnetic dipoles of the hybrid nanodisks and the lowest-order Rayleigh anomaly of the array enables the system to present optical responses similar to those of high-refractive-index dielectric nanostructure arrays, thereby effectively exciting both electric and magnetic dipole surface lattice modes. Additionally, the research reveals that the electric quadrupole mode of the hybrid nanodisks can also effectively contribute to surface lattice mode excitation. By adjusting the array periodicity, multiple surface lattice modes with significant tunability can be simultaneously generated in the visible and near-infrared spectral regions. This design approach based on hybrid nanodisk arrays not only provides efficient control over the excitation of multiple surface lattice modes but also suppresses radiative losses, expanding their potential applications in white light nanolasers, optical nonlinear effects, and other multi-wavelength nanophotonic devices.</p>