Laser Brillouin scattering is applied to measure the sound velocity and the sound anisotropic velocity in highquality single-domain tetragonal Ce:BaTiO3 single crystals at room temperature. The elastic and piezoelectric constants are thus determined. Based on the sound propagation equations and these results, the directional dependence of the compressional and shear modulus of Ce:BaTiO3 in the (010) and (001) planes are investigated.Some properties of sound propagation and electromechanical coupling in the crystal are discussed.