Based on the non-equilibrium Green function method, we investigate the spin-dependent transport through a finite interacting quantum dot with intradot spin-flip scattering for non-collinear configuration. It is found that when the intradot spin-flip scattering is applied, the Kondo peaks in the local density of states and the conductance are split, and the splitting peaks are suppressed sharply. By changing the relative orientation of both magnetizations, amplitudes of the splitting peaks appear asymmetric, and reduce with the increasing relative angle θ of the two magnetic moments. It is uncovered that the presence of the spin-flip scattering tends to greatly suppress the spin-valve effect.