In this paper, the quasi-static analysis of the mooring line of offshore vessels mooring system is carried out by use of catenary equations and the dynamic analysis of the mooring line is performed by means of the Lagrange′s equations. After the analysis, a mathematical model is set up. Then we give three vessel equations of motion in the three-degree-of-freedom mathematical model. After that, we compared the quasi-static mooring line tensions and dynamic mooring line tensions through time, we get the up flow mooring line has higher maximum tension in dynamic than quasi-static.%采用悬链线方程对海上船舶系泊系统所采用的缆索进行准静态分析，然后采用拉格朗日方程对缆索进行动态分析，获得缆索的数学模型。给出一组有关船舶动态情况时的三自由度微分方程组，通过比较准静态与动态时缆索的张力特点，可得迎流缆在动态时的最大张力比准静态小等。
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