A multi-objective grey target decision model based on the regret theory is proposed for dealing with the decision problem when considering the psychological behavior of the decision makers, where the attribute values are interval grey numbers and the attribute weights are unknown. Firstly, the rejoice-regret value function based on the positive and negative ideal solution is constructed and the positive and negative ideal bull’s eyes are obtained. A new comprehensive target-eyes distance is proposed by the proximity between the different situations to the positive and negative clouts. A non-linear optimization model is constructed to solve the optimal objective weights. Finally, an example of the city emergency instance is given to illustrate the effectiveness and practicality of the proposed model.