This essay is to obtain the optimal parameter of building structure with turned mass damper(TMD)based on the constraint of comfort and power reliability under random wind loads. Firstly, the analytical solution for the acceleration of wind-induced response of the structure of the first-order model associated with the comfort r is got. Secondly, according to Extreme Value Theory of random process, the average maximum wind-induced displacement of the cont of the stucture with TMD or without TMD as the sign of the result of reducing vibaration.dntrolled structure is acquired. Thirdly, define the average ratio of the maxium wind-induced displacemeampers of the structure with TMD or without TMD as the index of the result or reducing vibaration. Finally, the improved genetic algorithm is used to gain the optimal parameters of TMD.Therefore, a general method for the optimal design of TMD dampers structure based on the constraint of comfort and dynamic reliability are established. The research studies have shown that the method can be used to obtain effectively the optimum parameters of TMD devices.