A satisfactory right angle scattering geometry has been found to determine the directional dispersion of extraordinary phonons in LiTaO3 crystal. Ten specimens with different orientations were prepared and the surfaces of which were coated with antirenecting film to eliminated the additional scattering due to the internal reflection. A series of ordinary phonon and extraordinary phonon Raman spectra with different angle between the wave vectors and optical axis have been obtained. Four A1 and nine E optical phonons are assigned and thirteen directional dispersion branches are determined. Since all the peaks of extraordinary phonons could be observed simultaneously in same Raman spectra of extraordinary phonons, the directional dispersion branches could been determined without any ambiguity. The experimental results of the directional dispersion of the extraordinary phonons are in accord with the theoretical aesults calculated by the formula for uniaxial crystal.