A device for controlling the travel and travelling speed of one of the moving components of a machine-tool. It envisions a displaceable shuttle driven in synchronization with the rotation of the machine spindle and movable longitudinally relative to the machine, and an element having an operating inclined cam face and being adjustably mounted longitudinally and angularly of the shuttle for movement according to shuttle movement, and a finger operatively connected to the moving component of the machine-tool for the driving thereof and being actuated upon contact with the inclined cam face of the element, with the speed of displacement of the finger determining the travelling speed of the moving component and the stroke of the finger determining the stroke of the moving component and with the start of the travel of the moving component and the speed and stroke thereof being determined by the position of the said element and the slope of its cam face and the height of its cam face respectively.