The paper aims to, by combining the formal rules of traditional patterns with parametric design methods, explore the derivative design methods of traditional patterns in modern design and provide new ideas for the inheritance and development of pattern culture. Extract the rules of composition in traditional pattern modeling and use the function curve in modern graphic design and its control points' coordinate parameters to reconstruct the parametric pattern model; construct the spatial arrangement structure of the pattern in the form of a spatial point set; finally, formulate evolution rules, adjust the variable parameters, and carry out the design of derived structure of the target pattern. Take the Majiayao whirlpool as an example, analyze and extract the structural rules. On this basis, use Grasshopper, Which is one of the parametric modeling tools, to complete the parametric pattern modeling and plug-in making, and the design and application of parameterized pattern. In concluding, the traditional patterns' structure contains orderly formal rules, and possesses the basic conditions for parametric design of patterns; the parameterized pattern structure can make pattern derivation and design more flexible and efficient, helpful to the fusion of traditional patterns and modern design.