A system for remote transmission of the angular position and force between master and slave shafts, comprising master and slave synchronous machines (1,2) whose shafts (3,4) are connected, respectively, to master and slave shafts (5,6) and provided with position sensors (9,10) electrically connected to inputs (11,12) of a field orientation assignment unit (13) for assigning orientation of stator magnetic fields of the master and slave synchronous machines and to information inputs (15,14) of a device (16) for assigning the amplitude of stator magnetic fields of the master and slave synchronous machines, having the output thereof electrically connected to a control input (21) of a current producing unit (22) producing current in the windings of the master and slave synchronous machines, whose setting input (23) is connected to the output of the field orientation assignment unit (13) for assigning orientation of stator magnetic fields of the master and slave synchronous machines and whose outputs are connected to electrically linked respective windings of the master and slave synchronous machines (1,2), characterized in that device (16) for assigning the amplitude of stator magnetic fields of the master and slave synchronous machines comprises a mismatch determination unit (17) for determination of the assigned mismatch between the shafts of the master and slave synchronous machines, having a setting input (20) which receives a signal corresponding to a scale factor (n) of the force transmitted to the shaft (3) of the master synchronous machine (1) and information inputs which are the information inputs (14,15) of the device (16) for assigning the amplitude of stator magnetic fields of the master and slave synchronous machines, and a comparison unit (18) whose information inputs are connected to information inputs of the mismatch determination unit (17) for determination of the assigned mismatch of the shafts of the master and slave synchronous machines, while a setting input (19) thereof is connected to the output of the mismatch determination unit (17) for determination of the assigned mismatch of the shafts of the master and slave synchronous machines, and the output of which is the output of the device (16) for assigning the amplitude of stator magnetic fields of the master and slave synchronous machines.