Link of artificial grass tufting machine is the important linking part which can help cluster needles, circle hooks and cutting knives finishing reciprocating motion. In this paper, the finite element model of artificial grass tufting machine link is established by taking advantage of the finite element analysis software of ANSYS Workbench. According to the constraints and loads in actual condition, the static analysis is performed. Considering the influence of the vibration on link when operating，the modal analysis is taken. The topology optimization design of the link is performed according to the result of static analysis, which provides the theoretical basis and implementation method for the further optimization of the link and other components of the artificial grass tufting machine.