Abstract: By use of the hankel Intergral transform, the initial function solution of single elastic layer subjected to axis-symmery surface Ioad is derived, And then, using the recurrence matrix method, the analytical formulas are presented to study the displacements and stresses of layers.No matter how many soil layers are there, it is not to solve simultaneous equations. Accoding to these formulas, we draw up a computing program of micro-computer. The results of examples show that the method provided is correct.