Abstract: Filament winding pattern design is an important research field in the design of fiber reinforced resin polymer (FRP) composites winding shell and it plays an important role for filament winding products. A complete non-geodesic design method was proposed for unequal polar openings shell or different dome shapes shell based on non-geodesic equations. A model was established to obtain the number of tangent points and roving width by mandrel rotation angle and winding pattern. A FRP composites winding simulation software system was developed based on the winding pattern design method, the simulations of computer graphics and tests for non-geodesic filament winding were realized. The simulation results in every section meets design requirement which do not indicate abnormal phenomena such as winding angle saltation, irregular fiber distribution and heavily fiber overlap. This filament winding software system can help project planner decrease winding pattern trial and error times and lay the foundation for the optimization of winding angle and winding angle sequence.