The effect of magnetic fields on molecular Configuration of liquid crystalline polymers under shear flows are numerically analyzed using the extended Doi theory in which a molecular shape parameter is admitted. The evolutioii equation for the probability density function of the LCP molecules is directly solved without any closure approximations. One case is considered that the magnetic field makes 45 degrees with respect to the flow direction. We can find that the magnetic fields strongly affect on the transition among flow-orientation modes, such as tumbling, wagging, and aligning modes. And a new aligning flow-orientation mode emerges at low shear rate, which is macroscopically same as the ordinary aligning mode, but is microscopically quite different from the ordinary one. (C) 2009 Wiley Periodicals, Inc. J Appl Polym Sci 113: 1383-1388, 2009