There exists uncertainty in most problems in man´s practices and the uncertainty hinders decisionmakers from defining accurately indices values when they evaluate the system. For this problem, present decision-makers often define an interval number to denote this index value, but none has studied the interval number decision model in grey target decision. In this paper, the interval number, the distance of m dimension interval number and its characteristics are defined firstly, and the fact that the distance of interval number generalizes the distance of real number is proved, then, the method to normalize the interval number is developed. Based on the above, the multi-attribute decision model of grey target based on interval number is derived, which extends the grey target decision model from real number sequence to interval number sequence and richens the grey theories in grey target decision. Last, the validity and practicability are illustrated with an example.