Two types of leaky waves are obtained in this paper. They are the first leaky wave, whose phase velocity is between those of slow and fast shear waves, and the second leaky waves, whose phase velocity is greater than that of the fast shear wave. The characteristics of leaky waves propagating on LinbO(3) and LiTaO3 substrates are theoretically investigated by changing cut angles and propagating directions. Propagation loss of the first leaky wave for an electrically open surface becomes almost zero at phi = 20, 40, 80, 100, 140 and 160 degrees on (phi, 90 degrees, 0 degrees)-cut LiNbO3 substrate, and K-2 is 16.2% at these cuts. Phase velocities of the second leaky waves propagating on (90 degrees, 90 degrees, psi)-cut LiTaO3 and LiNbO3 substrates are twice as fast as those of Rayleigh waves, and electromechanical coupling coefficient (K-2) Of 2.14% is obtained at psi = 31 degrees on the LiTaO3 substrate. Propagation losses of both electrically open and short surfaces are almost zero at psi = 164 degrees on the LiTaO3 substrate, K-2 of as high as 12.9% is obtained at psi = 36 degrees on the LiNbO3 substrate. Propagation losses of both electrically open and short surfaces are almost zero at psi = 163 degrees on the LiNbO3 substrate.