Abstract: Based on Hamilton's principle and the first-order shear deformation plate theory, the free vibration control equation of biomimetic fiber reinforced composite laminates on Winkler Pasternak elastic foundation was proposed. The dimensionless natural frequencies of biomimetic fiber reinforced composite laminates were discussed using the differential quadrature method under the boundary conditions of four fixed and four simply supported edges. The effects of laminated structure, boundary conditions, aspect ratio, dimensionless elastic foundation stiffness, and axial load ratio on the dimensionless natural frequency of biomimetic fiber reinforced composite laminates were examined through numerical examples. The results show that the natural frequency increases with the increase of the Winkler elastic foundation stiffness, the Pasternak elastic foundation stiffness, and the plate width thickness ratio, while decreases with the increase of the axial load ratio.