An interaction between an elastic wave and a liquid crystal is investigated from the view point of evaluation of the elastic properties of the liquid crystal. A periodical stripe domain pattern is induced by an interaction between the elastic wave and the nematic liquid crystal, the pattern is observed by a polarizing microscope. In the numerical analysis of elastic wave propagation in a nematic liquid crystal cell, the 0th mode depends on the liquid crystal properties, on the other hand the Ist mode is influenced predominantly by the properties of two sheets of glasses composing the cell. The 0th and Ist mode phase velocities are estimated from the periodic length of the stripe domain pattern. The 0th mode phase velocity in the nematic liquid crystal cell strongly depends on the cell layer thickness. The phase velocity obtained from the observed result is in good agreement with the numerical analysis result.