Based on the design program of carton structure, an adaptive design system of carton, s hollow-out elements providing aesthetics and mechanical properties was developed by combining parameterization design method and software tools including VC++ and OpenGL with various optimized target factors. In the proposed design system, the carton database and hollow-out element database were implemented by parameterization design method. In carton database, certain typical complete cartons were designed based on GB/T 6543—2008 carton standard while the hollow-out element database was designed with patterns of various traditional paper-cut styles. Three optimization functions including carton size parameter, location and size of hollow-out elements were introduced and analyzed with a case study of chopsticks packaging in Lingnan fish totem paper-cut model. According to the output result, the system could realize feasible and fast adaptive design of carton’s hollow-out elements.