Abstract: Based on the one dimensional barrier penetration model, a new model is built to connect the peripheral reaction with the fusion reaction and take account of the effects of nuclear static deformation and dynamic polarization, namely deformation and energy dependent multi dimensional barrier penetration model. It succeeds in the explanation of some experimental phenomena in 19 F+ 208 Pb system. Moreover, it indicates that the dynamic polarization takes effect only at energy around the barrier, while the static deformation takes effect at energy further below the barrier. This conclusion suggests that the deformed configuration system should be of great benefit to the synthesis of heavy or super heavy nucleus in the cold fusion process.