Summary: One-dimensional discrete Schrödinger equations (tight binding models) are analyzed from the viewpoint of level statistics. The energy levels of them are identical to the zeroes of the corresponding orthogonal polynomials. The level densities and local level correlations are calculated in the cases related to classical orthogonal polynomials. The level densities are the same as those of the random matrix ensembles which correspond to the same classical orthogonal polynomials. The local correlations of levels show perfect rigidity.