In this article, the Van der Waals forces for a system composed of asymmetric tep molecules, which have never been investigated before, are systematically treated by thequantum mechanical method. Having made use of the expansion formula of 1/γij in the twocenter series of surface harmonics and the important relations of the Wigner coefficient, we have obtained the closed formulas of the eletrostatic force, the inductive force, the dispersive force and the three ionic force up to any high moments.