Abstract: According to the boundary values problem of Hermit equation, the paper mainly studies the similar structure of its solution and finds that the solutions of this class of boundary value problem can be assembled by the similar function and the coefficient of nonhomogeneous boundary condition, the similar function which is constructed by two arbitrary linearly independent particular solution of definite equation and the coefficient of homogeneous boundary condition. Therefore the authors give a new way of solving the class of boundary value problems which is short of similar constructive method.