Abstract: The double curved reflector antenna constructs the focus band curve which meets the reflection requirements by designing a reasonable middle section and using the focus band formula. In modeling, the denser the focus band curve constructed by the mid-section data is, the more continuous the curvature of the reflection surface is and the smaller the deviation between the constructed surface and the theoretical surface is, but the deviation optimization will lead to a sharp increase of modeling workload. With the parametric array design method based on Creo, the modeling of hundreds of focus curves can be realized efficiently, and the model can be quickly modified by adjusting the mid-cut Excel data table and a small number of parameters. In this paper through the graphical curvature analysis and quantitative analysis of the reflector surface accuracy, a bi-directional curve constraint method is proposed, which solves the problems of curvature discontinuity and excessive deviation caused by the lack of data input accuracy and unidirectional curve constraints. Finally, the root mean square error of the real reflector is 0.194 mm, which meets the design index (namely the root mean square error δ_RMS≤0.35 mm).