By combining the self-consistent field theory for polymers with the Helfrich elasticity theory of membrane, the polymer anchored infinite membrane is investigated. Both the density distribution of the polymer and deformation of the membrane are obtained. Close to the anchoring site,the membrane has the conical shape and bends away from the polymer due to the membrane's impenetrability to the polymer and the confined space for the polymer, which is consistent with previous theoretical results and Monte Carlo simulations. Moreover, the interaction between the membrane and polymer chain length, and the effects of bending rigidity and surface tension on the deformation of the membrane are investigated.