This paper presents a solution of a rigid rectangular plate on transversely isotropic foundation. Firstly, the flexibility matrix of the subgrade is achieved based on the displacement solution of transversely isotropic multilayered foundation soils subjected to uniform rectangularly-distributed loading. Secondly, the governing equation of the interaction between the rigid rectangular plate and the layered transversely isotropic foundation soils is developed by using the compatibility conditions of the plate and the foundation, and the governing equation is solved for the reactional force of the foundation. This procedure is then implemented into a computer code with a proper meshing scheme. Finally, a case study is performed, and the effects of the properties of transversely isotropic foundation soils, the length-to-width ratio of the rigid rectangular plate, the thickness of the foundation soil and soil stratification on subgrade reactions are analyzed. The results indicate that the three factors mentioned above have significant influence on the subgrade reaction.