With the development of automated warehouse, stacker has come to the public’s vision. The research object is stacker in this paper, and we use finite element analysis for the stacker. The force analysis of the frame was performed by the finite element.We analyze the stress of the stacker under full load. Then we get the analysis results of stress and deformation. We use finite elements, which can analyze the modes of the stacker and obtain the one to six order vibration diagram of the stacker. The maximum deformation of the stacker is 0.06 mm, which does not affect in the normal work condition. The maximum stress of stacker is 4.550 Mpa. It is less than yield strength of Q235, and its vibration frequency is between 3.002 and 56.733 Hz. It is basically greater than the working vibration frequency of 2 Hz and meets the working requirements. It provides a reference for analyzing the vibration frequency of stacker.