In order to find the global optimum, it’s crucial to prospect its neighborhood of global optimum(NGO). Inspired by force balance relationship of the gravity center(GC) of a sand table, a method of prospecting NGO based on GC is presented in this paper. Firstly, space transformation technique is used such that the GC of the optimization space can be “moved” close to the NGO. Then, the NGO whose geometric center is the “moving” GC narrows down gradually. Experiment results of function test and engineering application show that the NGO can be determined effectively with small population size within less iterations by using the proposed method.