In this paper，the three-parameter {c,h ，α} rotating body model is used to describe the shape of nuclei which can be changed with great amptitude. By Choosing reasonably the shape-dependent single particle potential of nucleon，the Schrodinger equation of single particle motion is solved by means of basic vector expansion method. Using the method of diagonizing the matrix. We calculated the shape-dependent single particle energy levels of nucleon. By analyzing and comparing these calculated results with those obtained by other authors under the same condition，these calculated results are confirmed to be reliable and rational，which can be used to calculate the shell correction and pair correction of deformation potential of great-deformed nuclei.