Abstract: In this paper, the asymptotic solutions of free vibration of symmetric cross-ply laminated plates clamped at four edges resting on Winkler-Pasternak foundations are obtained under the consideration of transverse shear deformation by using the laminate theory established in〔1〕and Bolotin's method.The numerical results are presented for laminated pates with different ratios of length and thickness in the ease of different elastic and shear moduli of foundations.As a simple example, the frequencies of thick orthotropic plates on elastic foundations are calculated by using the formulae presented in the paper and compared with those given by the other paper. The comparison shows little difference between them.