Abstract To optimize the efficiencies of the genetic algorithm in anti-ship missile route planning, an anti-ship missile route planning method using a particular quantum genetic algorithm was proposed in this study. Firstly, the feasible route curve was characterized by the sum of several sine waves using the sine function superposition acquired from the Fourier transform. Then, using the quantum genetic algorithm (GGA), the parameters to be optimized in the route model were optimized within the range of values allowing the optimal route. Finally, the effectiveness and optimization efficiencies of the planning method proposed have been verified by mathematical simulation.