In this paper, first, the method of enhancing smooth degree of original data sequence by function transformation is studied and some transformation functions are presented. Second, original data sequence is transformed by means of function transformation. Third, the mechanism of GM(1,1)-ameliorated model based on adaptive genetic algorithm (AGA) is proposed and the steps of modeling is explained in detail . At last, the method is applied in building the model of Chinese country per-capita housing areas. The results of example show the effectiveness of the proposed approach.