A magnetorheological clutch comprises a stationary part, a rotating primary part with primary laminated strips and a secondary part with secondary laminated strips, whereby a controllable magnetic field acts upon the magnetorheological fluid. The aim of the invention is to allow transmission of a highest possible torque in a smallest possible space and with minimal power consumption. Said aim is achieved, whereby a number of solenoid coils, each having a first yoke with a substantially radial winding axis, are alternately oppositely polarized; the first yokes have cylindrical front faces, whereby the magnetic field lines radially enter and exit said yokes, the primary laminated strips and secondary laminated strips form closed cylindrical envelopes and second outer and inner yokes are provided radially outside of and radially inside the first yokes, whereby the magnetic field lines radially enter the second yokes and radially exit said yokes in the opposite direction.