Exact solution of multilayer elastic plane in a rectangular coordinate system is obtained on the basis of Fourier integral transformation and stiffness matrix method. Stiffness matrix for monolayer derived firstly based on the fundamental elasticity equations and some mathematic methods such as Fourier integral transformation. And then the stiffness matrix is established for multilayer elastic plane

using the finite element concepts in which layers are completely contacted. Therefore

exact solution of multilayer elastic plane is obtained from the solution of algebra equation formed by stiffness matrix and inverse Fourier integral transformation. Due to the element of matrix is not included positive exponential function

the calculation is not overflowed. The shortages of transfer matrix method are overcome. This method is clear in concept

and the corresponding formulas are given not only simple but also convenient for application. More important thing is the method can be used to solve other problems for multilayered elastic plane

such as thermo field and dynamics. A numerical example is presented to prove the correction of calculated results.