Abstract: A calculation method that would enable the serial construction of convex spherical bilateral polyhedrons has been proposed. This kind of polyhedron could be achieved by calculating the minimum of the variable coefficient of the Jingchang of feature vertexes under the constraint of convex spherical bilateral polyhedral equations, which sets the coordinates of feature vertexes as variables and is based on constraint conditions of topological mapping from the plane element to the spatial element of a convex polyhedron. Spherical caps corresponding to convex spherical bilateral polyhedrons with large rise-span ratio, might be applied to radomes for its advantages, as spherical lattice shells have excellent mechanical properties. The windows for wave-transparent of radomes might be single thin films for all grids are plane, which would be benefit for the electromagnetic property of radomes.