The reconstruction of scattering potential of one-dimensional Schrodinger equation is studied. A variational formulation is constructed from the famous Gel’fand-Levitan （G-L） equation to reconstruct the scattering potential. Besides its variational property

this formulation has the advantage with which the complete information of the approximation solution of the G-L equation has been fully used. Therefore

it may be used to improve the results of some approximation methods to solve the G-L equation. Some examples are given to illustrate the improvement by applying the formulation to the results of iteration method.