In this paper,aimed at the lattice characteristics of silver and silver film growth feature,the silver film growth model is set up based on KMC,surface morphology of monolayer Ag film is simulated. Under the condition of periodic basement and interlayer between atoms,use EAM ( Embedded Atom Method) to calculate the inter-atomic potential. According to the characteristics of the lattice of metal Ag and film-forming characteristic,carry out the modeling,programming,and experiment. The results show that in the case of constant temperature,with the increase of coverage, the number of surface atoms increases, and a two-dimensional island growth raises. The growth of the island morphology has experienced the process from scattered to the growth of the condensation. The number of atoms is-land is reduced,at the same time,the size of the island is increased.