This paper proposes a non-symmetrical permanent-magnet linear motor traction system (PMLMTS), in which the primary permanent-magnet linear motor (PMLM) is employed. Four movers are mounted with same phase angles. There are nine legs, including eight independent legs and one common leg. All legs have same normal voltage but different normal currents. The normal current of the common leg is four times the normal current of the independent leg. Compared with axle-control topology, three legs are reduced in the non-symmetrical topology. As a result, the system complexity is simplified and the system reliability is enhanced. This paper also proposes the control method for the non-symmetrical PMLMTS. The effectiveness of the proposed topology and its control method are verified by simulation results.