Abstract Based on FEM theory, a method of dynamic analysis for hingeless rotors considering anisotropic composite materials is established. A parametric modeling method of composite blade with typical profile and high simulation degree for design is proposed. Through the finite element method, the profile characteristics of rotor blade can be obtained efficiently and accurately, and the synchronization of parametric design and finite element analysis of structural characteristics can be realized. Then a 23-degrees of freedom non-linear beam element is used to simulate the extended one-dimensional beam, thereby a non-linear differential equation describing the elastic motion of the rotor is established. To obtain the cross-sectional target characteristics of the blades, an inverse design method is proposed for cross-section components based on combinatorial optimization algorithm. The calculation and validation work show that the proposed model can effectively analyze the aeroelastic characteristics of general composite rotors. Further, the influence of cross-sectional parameters on the aeroelastic stability and hub loads of hingeless rotor is analyzed and some remarkable conclusions are obtained.