S.B. Rutkevich A New Representation For (1+1)-Dimensional Landau-Lifshitz Model (9K, LATeX Version 2.09 <14 January 1992>) ABSTRACT. Recently an exactly solvable classical Hamiltonian model was obtained, which appears in analysis of the correlation function in a free-fermion model. It is proved here, that the above mentioned Hamiltonian model is equivalent to the Landau-Lifshitz model of the one-dimensional biaxial ferromagnet.