S. A. Denisov On the application of one M.G.Krein's result to the spectral analysis of Sturm-Liouville operators. (35K, LaTeX) ABSTRACT. Discovered by M.G.Krein analogy between polynomials orthogonal on the unit circle and generalized eigenfunctions of certain differential systems is used to obtain some new results in spectral analysis of Sturm-Liouville operators. Some properties of Dirac-type systems are studied.