The pulse cleaning and compression is performed in order to obtain a shorter pulse than an incident pulse using a nonlinear birefringence in an optical fiber. Especially, to eliminate the uncompressed low power part of the compressed pulse, it is necessary to transmit preferentially the high power part of the pulse by adjusting a polarizer after passing through the fiber. The experimental condition for effective wing reduction is theoretically calulated and the change of the pulse shape passing through the polarizer is simulated according to the amount of the linear birefringence of the fiber. In experiment, using a single mode fiber having a length of 6.3 m and a polarized beam splitter, a clean and short pulse ($\simeq$ 1.0 ps) is obtained from 1.8 ps pulse of APM Nd:YLF laser. As a result of the compression of this cleaned pulse by a grating pair having a 400 lines/mm, a much shorter pulse ($\simeq$ 0.7 ps) is observed when the distance between gratings is 11.6 cm.