We propose a new scheme of simulating search algorithm in an optical system via weak value amplification and post-selection. In this scheme, we encode the database on the transverse distribution of the input beam, and then perform pre-selection and post-selection on the polarization state of the input beam. We first discuss a general input beam and obtain some interesting results. Then we analysis a Gaussian input beam. Results show that by choosing the post-selection state of the auxiliary system properly and using the weak value amplification, it is possible that we can achieve a database search in only one iteration.