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Abstract. Vibration cementing is an important technology to improve cementing quality. According to lateral vibrating without damping of casing string system, Firstly, the casing string system in the waiting on cement time was separated from the wellbore system, considering the factors of drilling fluid and cement slurry, vibration model without damping of the casing string was established by the separation variable method, Based on the boundary conditions, the lateral vibrating natural frequency equation of the casing string system without damping was obtained. Then, The three-dimensional model of the casing string was established by SolidWorks, the three-dimensional model of the casing string system was established by reasonable simplification, the finite element analysis of the mode of the casing string system was carried out by using the ANSYS Workbench, The natural frequency of the first 25 order lateral vibration was obtained, The results of the theoretical calculation were compared with the results of the finite element analysis, and the results were in good agreement. End, the excited frequency was determined by the analysis of the vibration modes, the results were of guiding significance to the vibration parameter design of the vibration cementing tools.