In this paper, a new linearVernier permanent-magnet machine is proposed. By using high-temperature superconducting (HTS) winding to provide an additional field excitation, a hybrid excitation machine is achieved. TheHTS field winding is accommodated in the stator and PMs are mounted on the mover surface. By regulating the dc current flowing in the HTS field winding, the air-gap flux can be flexibly controlled. First, the proposedmachine and the cooling system for the HTS field winding are presented. Second, the operating principle of the proposed machine is discussed. Third, by using the 3-D finite element method, the performance of the proposed machine is evaluated. Finally, a conclusion is drawn.