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The semi-submersible platform works in severe sea condition through the anchor mooring positioning, in order to prevent the platform in the external environment to drift under the interference of wind, wave and flow, this paper research on anchoring positioning chain tension. The genetic algorithm combined with nonlinear programming algorithm which can improve the optimization efficiency was adopted to optimize the tension, avoid the tension too large or too small which in platform of a corner, resulting in the chain due to fatigue fracture and energy waste. Simulation results of 981drilling rig was carried out on both in the standby condition and in operation condition, and the simulation in Matlab/Simulink results show that the scheme is effective to balance the distribution of tensions and keep the position of offshore platform.