Flows around a flat plate exhibiting a pitching motion in a uniform crossflow are studied numerically. Two cases of pitching motion, sinusoidal oscillation and oscillation with constant velocity, are analyzed and the effects on the flow of the position of the pivot, Reynolds number, angular velocity and maximum angle of attack are researched. Body-fitted grid generation with moving boundaries is used to obtain the numerical solution of the incompressible Navier-Stokes equations. The time-dependent curvilinear coordinate system which coincides with a contour of a moving boundary is transformed into a fixed rectangular coordinate system in a calculational plane. The changes in C_D and C_L during the pitching motion are obtained.