The results of the research on control of high-speed and lowspeed six-phase synchronous reluctance motor are presented in this paper. Two control variants of SynRM are considered: two galvanically isolated three-phase windings and one six-phase winding connected in the wye. The mathematical description, mathematical models, and results of synthesis of control systems for two considered variants of control of SynRM are given. The problems encountered by the authors are considered and the ways of their solution are presented. The results of practical research and comparison of the variants considered in controlling six-phase SynRM are presented. Conclusions about advantages and disadvantages of various control variants of a SynRM are made on the basis of theoretical and practical research and the obtained results. The presented results of mathematical description and synthesis of control system and also results of experimental research at control of prototypes of SynRM can be used at synthesis of control systems of any types of multiphase electric machines.