A novel design of a transverse magnetic (TM)-pass waveguide polarizer based on Si on an X-cut, Y-propagation Ti:LiNbO3 planar waveguide is presented. The eigenvalue functions of such structure have been obtained by using Wenzel-Kramers-Brillouin (WKB) method with modified Airy functions. The intervals of the silicon thickness have been found which result in transverse electric (TE) light suffering strong attenuation while TM wave propagating with fairly low loss. A planar waveguide polarizer is fabricated and its polarization-dependent measurements lead to the best polarization extinction ratio ~34 dB and the insertion loss <0.4 dB.