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The unscented transform and the multiple-model method are employed to linearize nonlinear systems, and a new linearization method is designed called as the multiple-model linearization method based on the unscented transform (UT-MMLM). Because the UT-MMLM describes a nonlinear system by a linear systems' set, it can further approach the original system. Based on this linear systems' set, the multiple-model extended Kalman filter based on the unscented transform(UT- MMEKF) is designed. At last, the findings in this paper are used to locate nodes' positions in wireless sensor networks(WSN).