A control method for controlling an electric actuator (1, 76) in an exercise device comprising a load element (6, 69, 91) intended to be displaced by the force of a user and coupled to a moving part of the electric actuator, a control unit (12, 80) and a position coder arranged so as to detect an instantaneous position of the moving part and to generate a position signal representative of the instantaneous position of the moving part, the control method comprising the execution by the control unit (12, 80) of the steps consisting in: receiving the position signal generated by the position coder, detecting a direction of the displacement of the load element from the position signal generated by the position coder, supplying a first load set point (F A, k A) upon a displacement of the load element in a first direction, the first load set point being a control signal generated by the control unit (12, 80), supplying a second load set point (F B, k B) upon a displacement of the load element in a second direction opposite to the first direction, the second load set point being a control signal generated by the control unit (12, 80), and in response to the detection of a reversal of the displacement of the load element between the first direction and the second direction, supplying a transition load set point varying progressively from the first load set point to the second load set point during a time interval, wherein the method further comprises: detecting an initial position of the moving part of the electric actuator or of the load element at the moment when the reversal of the movement is detected from the position signals generated by the position coder, computing an end-of-transition position exhibiting a deviation in the second direction relative to the initial position, the deviation between the end-of-transition position and the initial position being a predetermined constant (b 2) stored in a memory of the control unit, supplying the transition load set point in the form of a control signal generated by the control unit, said control signal being representative of a monotonic function of the position of the moving part of the electric actuator or of the load element, said monotonic function varying from the first load set point (F A, k A) to the second load set point (F B, k B) between the initial position and the end-of-transition position, characterized by the fact that the load element is coupled without slip to the moving part of the electric actuator. receiving the position signal generated by the position coder, detecting a direction of the displacement of the load element from the position signal generated by the position coder, supplying a first load set point (F A, k A) upon a displacement of the load element in a first direction, the first load set point being a control signal generated by the control unit (12, 80), supplying a second load set point (F B, k B) upon a displacement of the load element in a second direction opposite to the first direction, the second load set point being a control signal generated by the control unit (12, 80), and in response to the detection of a reversal of the displacement of the load element between the first direction and the second direction, supplying a transition load set point varying progressively from the first load set point to the second load set point during a time interval, wherein the method further comprises: detecting an initial position of the moving part of the electric actuator or of the load element at the moment when the reversal of the movement is detected from the position signals generated by the position coder, computing an end-of-transition position exhibiting a deviation in the second direction relative to the initial position, the deviation between the end-of-transition position and the initial position being a predetermined constant (b 2) stored in a memory of the control unit, supplying the transition load set point in the form of a control signal generated by the control unit, said control signal being representative of a monotonic function of the position of the moving part of the electric actuator or of the load element, said monotonic function varying from the first load set point (F A, k A) to the second load set point (F B, k B) between the initial position and the end-of-transition position, characterized by the fact that the load element is coupled without slip to the moving part of the electric actuator. detecting an initial position of the moving part of the electric actuator or of the load element at the moment when the reversal of the movement is detected from the position signals generated by the position coder, computing an end-of-transition position exhibiting a deviation in the second direction relative to the initial position, the deviation between the end-of-transition position and the initial position being a predetermined constant (b 2) stored in a memory of the control unit, supplying the transition load set point in the form of a control signal generated by the control unit, said control signal being representative of a monotonic function of the position of the moving part of the electric actuator or of the load element, said monotonic function varying from the first load set point (F A, k A) to the second load set point (F B, k B) between the initial position and the end-of-transition position, characterized by the fact that the load element is coupled without slip to the moving part of the electric actuator.