In order to improve the accuracy of free vibration analysis of laminated composite plate, free vibration of laminated composite plates is analyzed by the meshless radial basis function collocation method. The shape parameter of radial basis function has important effect on the accuracy of calculation. The genetic algorithm is utilized to optimize the shape parameter of multiquadrics radial basis function. Natural frequencies of laminated composite plates are calculated by the multiquadrics radial basis function with optimal shape parameter and compared of the existing literatures. The numerical results are consistent with the results with the results. The genetic algorithm has great potential in shape parameter optimization. The proposed method has higher calculation precision.