The thermal behavior of single-layer Ag film or Ag/Au and Ag/Cu two-layer films irradiated by femtosecond laser is studied with the two-temperature model. The corresponding distributions of electron temperature and lattice temperature versus time and space are calculated. The results show that the two-layer metal structure can change the lattice temperature of the top Ag layer, and then change its damage threshold. When selecting chromium with a larger electron-lattice coupling coefficient as the bottom layer metal for Ag film, the damage threshold of the top Ag layer is further enhanced. These results provide important guiding significance for using Ag films to manufacture the reflective mirrors for visible femtosecond lasers.