This paper presents means to minimize the cogging force of a new type of permanent magnet excited transverse flux linear synchronous motor (PMTFLSM). The translator of this linear motor consists of cross-shaped core sets. Varying the parameters of air gap length, magnet dimensions, pole pitch and tooth width of the translator, the cogging force of the PMTFLSM will be analyzed. Taguchi's parameter method including 2D finite element analysis (FEM) is employed to minimize the cogging force. Analytical and simulation results indicate the usefulness of our approach in practice