In this paper, a novel type of low frequency vibration plastic forming equipment is proposed, in which the slotted tubular permanent magnet synchronous liner motor (slotted – TPMLM) is the core component and plays the roles of power source and vibration source. So, this paper focuses on the research about the design of the slotted - TPMLM. The suppression and optimization of motor thrust fluctuation has always been a hot research issue. But that is not the purpose of this article. Here, the effect of the length of stator core on end force and the influence of the number of poles and slots on the cogging force are discussed in detail. The purpose is to design the thrust fluctuation of slotted – TPMLM reasonably so that the thrust fluctuation can be used in the low frequency plastic forming. The slotted – TPMLM is designed, manufactured, and tested. The experimental results show that the motor can output thrust with periodic fluctuation (low frequency, about 4.8 Hz), and the thrust fluctuation accounts for about 16.5% of the average thrust, which meets the metal low frequency vibration plastic forming requirements. Consequently, the low frequency vibration plastic forming equipment can be realized, which contributes to the field of the plastic forming.