Abstract: Using the method of coupling infinite BE and FE, the authors have calculated the thin plate based on elastic half space. The elastic thin plate is treated by FE,the elastic half space treated by BE, and the infinite BE is used to treat the infinite boundary. We get the comprehensive matrix equations considing the compatible conditions on the surface of the plate and the foundation. The results show that the method has many advantages and is very suited for pavement and other foundation engineerings.