Abstract : A method for controlling displacement of a load suspended to a point of attachment of a lifting machine includes an acquisition step during which a piloting setpoint is acquired and which is representative of the displacement speed that the operator wishes to confer on the suspended load , a processing step during which a setpoint called execution setpoint , which is applied to a drive motor in order to displace the suspended load , is elaborated from the piloting setpoint , the processing step including a C^3 smoothing substep by third-order filtering during which a third-order filter is applied to the piloting setpoint in order to generate a filtered piloting setpoint of smoothness class C^3 , and the execution setpoint is defined from the filtered piloting set point .