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Grey system is a theory which studies poor information specially, and it possesses wide suitability. Applying a step by step optimum new information modeling method to construct new information background value of multi-variable non-equidistance new information Grey model MGM(1,n), taking the mth component of each variable as initial value of response function, taking the mean relative error as objective function, and taking the modified values of response function initial value as design variables, the multi-variable non-equidistance new information Grey model MGM(1,n) was built. The proposed model can be used to build model in non-equal interval and equal interval time series. It enlarges the scope of application and has high precision and easy to use. Example validates the practicability and reliability of the proposed model.

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