This research aims to establish an optimal design method of filament wound structures under internal pressure. So far, most design and manufacturing of filament wound structures have been based on manufacturing experiences, and there is no established design rule. In this research, the semi-geodesic path algorithm was used to calculate possible winding patterns taking into account the windability and slippage between the fiber and the mandrel surface. In addition, finite element analyses using commercial code, ABAQUS, were performed to predict the behavior of filament wound structures. On the basis of the semi-geodesic path algorithm and the finite element analysis method, a filament wound structure was designed using the genetic algorithm.