Thin films on the substrate are unstable and undergo dewetting when heated, a phenomenon widely applied in materials science known as solid-state dewetting. Its governing equation is a fourth-order geometric PDE, coupled with the migration of the triple contact points at the substrate, film, and vapor. It possesses two geometric properties: energy dissipation and mass conservation. Designing a numerical method that preserves these properties, especially for curved substrates, is challenging. In this talk, I will introduce a structure-preserving numerical method for solid-state dewetting on curved substrates, and demonstrate its structure-preserving properties both theoretically and numerically.