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Although grey forecasting model has been successfully adopted in various fields and yielded promising results, the literature shows that its performance is far from satisfactory and need to be further improved. Traditional grey models were all constructed on the real sequence. In fact almost in all systems the precise information or value of can not be get. The grey number is used to display uncertain information. For this reason, a novel grey forecasting model based on interval grey number sequence is proposed. Grey number and its operation is defined with optimized formula. Section 3, a novel model named grey number sequence forecasting model (Abbreviate as IG-DGM) is proposed and the parameters formula and recursive function is studied as well. As shown in results, the proposed model can be solved similarly as traditional grey model. This work contributes significantly to improve grey forecasting theory and propose more novel grey forecasting models.