Abstract: This paper discusses the Reissner’s plates on elastic foundation. The elastic foundation is considered as a medium with twoparameter and its effect to thick plates is taken into account by a set of governing differential equations. According to the derived fundamental solutions for bending problem of plates on twoparameter foundation, three boundary integral equations denoted by generalized displacement functions are established. This method is suitable for solving the bending problem of thin or thick plates on twoparameter foundation with arbitrary boundary condition, arbitrary shape and arbitrary load conditions.