This paper deals with the flow behavior and the resulting fiber orientation during compression molding of semi-concentrated fiber suspensions. The suspension is characterized using the Dinh and Armstrong integral constitutive relations, expressed in terms of the finite deformation tensors. The equations of motion are expressed in a convenient Generalized Eulerian-Lagrangian reference frame. The resulting nonlinear system of equations is solved using full Newton-Raphson iteration procedure. An integral boundary condition has been applied at the press wall to represent the constant force condition at that boundary. Results are presented for the isothermal filling of a two-dimensional rectangular cavity for the flow field and the associated fiber orientation. The influence of different parameters such as molding force, fiber concentration, fiber aspect ratio etc. on the compression rate is also presented.