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The grey forecasting model has been successfully used in many fields. But it still has some defects. Research has found that the problems of the conventional grey prediction model in the background value and the boundary value have great influence on the accuracy of prediction result. To address this problem, a combinatorial optimization method is proposed in this paper. Firstly, to overcome the shortcomings of the conventional grey prediction model, the quantum genetic algorithm is used to optimize the parameters of grey prediction model based on the least square calculation model parameters. Secondly, the support vector machine regression is used to predict the residual sequence to fix the prediction result yielded by the optimized prediction model talked above. Finally, examples are given to show that the combination prediction model proposed in this paper has higher prediction accuracy compared with the conventional grey prediction method.