In one embodiment, the design method for a fine metal mask includes: establishing a three-dimensional simulation model of the fine metal mask according to design parameters of the fine metal mask; acquiring material property parameters of the fine metal mask; performing a simulation operation on the three-dimensional simulation model according to the material property parameters and simulation conditions, in order to obtain a simulation result of the fine metal mask after a mesh stretching, and the simulation conditions are configured to represent constraint conditions of the fine metal mask during the mesh stretching, and the simulation result comprises at least one of a deformation condition, a stress condition and a strain condition of the fine metal mask after the mesh stretching is performed; determining whether the simulation result matches a preset result; adjusting the design parameters according to the simulation result if no, and selecting the design parameters if yes.