Control device (computer mouse) for moving a visual pointer on a display constituting part of a user interface for computer equipment. The control device is designed to be used hand held free of support from any surface, as the movement of the pointer in two dimensions takes place by means of a guide pin, a so-called joy-stick. The guide pin preferably has a double function so that it may also be used for scrolling the display. The control device may include an attachment for the user's hand or wrist, and may be integrated with a telephone receiver or with a remote control for a television set or the like.