Two new types of HTS electric machine are considered. The first typeis hysteresis motors and generators with cylindrical and disc rotorscontaining bulk HTS elements. The second type is reluctance motors withcompound 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. Suchrotors have anisotropic properties (ferromagnetic in one direction anddiamagnetic in the perpendicular one). Theoretical and experimental resultsfor HTS hysteresis and reluctance motors are presented. A series of hysteresisHTS motors with output power rating from 1 kW (at 50 Hz) up to 4 kW (at400 Hz) and a series of reluctance HTS motors with output power 2-18.5 kW (at50 Hz) were constructed and successfully tested. It was shown that HTSreluctance motors could reach two to five times better overall dimensions andspecific power than conventional asynchronous motors of the same size and willhave higher values of power factor (cos φ⩾0.7 to 0.8).