Abstract: Based on the finite element method, the simulation and analysis of free vibration characteristic of subsea suspended pipeline is studied. The three-dimension analysis model of suspended pipeline is established,the stiffness matrix and mass matrix are obtained,and the free vibration equation is developed. The generalized JACOBI principle of mechanical vibration is applied to write JACOBI program,to calculate the numerical solution of the intrinsic frequency and the critical suspended length. The solutions show that using JACOBI program can obtain the intrinsic frequency of subsea suspended pipeline quickly and conveniently,so as to provide the foundation to the pipeline design of marine engineering.