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Based on the study of the tire cornering characteristics and moment of force, this paper puts forward the question about how distribute four kinds of driver model of steering torque for four in-wheel independent drive (4WID) electric vehicles. Through mathematical analysis, this problem can be converted to optimization with constraint,then use the MATLAB optimization toolbox, and adopt active-set algorithm to solve this optimization problem, finally solved the problem about how distribute four kinds of driver model of steering torque when single wheel motor fails. To improve the over-steer characteristic of four in-wheel independent drive (4WID) electric vehicles when single wheel motor fails and prevent the vehicle side-slip provides a theoretical basis. Finally, the correctness of this conclusion is examined using a driving simulator system named TESIS DYNAware.