Two new types of HTS electric machines are considered. The first type is hysteresis motors and generators with cylindrical and disk rotors containing bulk HTS elements. The second type is reluctance motors with compound HTS-ferromagnetic rotors. The compound HTS-ferromagnetic rotors, consisting of joined alternating bulk HTS (YBCO) and ferromagnetic (iron) plates, provide a new active material for electromechanical purposes. Such rotors have anisotropic properties (ferromagnetic in one direction and diamagnetic in perpendicular one). Theoretical and experimental results for HTS hysteresis and reluctance motors are presented. A series of hysteresis HTS motors with output power rating from 1 kW (50 Hz) up 4 kW (400 Hz) and a series of reluctance HTS motors with output power 2-9 kW (50 Hz) was constructed and successfully tested by the cooperation of MAI (Moscow, Russia) and IPHT (Jena, Germany). It was shown that HTS reluctance motors could reach 2-5 times higher specific output than conventional asynchronous motors of the same size and will have higher values of power factor (cos/spl phi//spl ges/0.7-0.8).