An operating device for a tilt and turn door or window comprising at least a fixed frame and a movable sash connected to each other along a corresponding vertical upright (4, 5) by a pair of hinges, a lower hinge and an upper hinge, and a control handle positioned on the upright of the sash opposite to that connected to the fixed frame; the operating device comprising at least: - a slider for transmitting the movement of the handle adapted to be housed and slidable inside a groove of an upper crosspiece of the sash; - a positioning body fixable in the groove of the upper crosspiece; the body having a slot with a longitudinal operating extension; - a connecting arm adapted to be articulated, at a first end, to the movable portion of the upper hinge and articulated, at the other end, to the positioning body by means of a pin housed in the slot of the positioning body; the arm having a relative surface provided with at least two elements (17, 18) protruding towards the groove and a free zone, spaced from each other along the arm; - a selector element connected to the slider, slidable inside the groove of the upper crosspiece for intercepting, according to a sequence predetermined by the relative position of the protruding elements (17, 18) and the free zone, the protruding elements (17, 18) and free zone, in such a way as to define corresponding closed, turning opening and tilted open configurations which can be adopted by the movable sash, the device being characterised in that it comprises means for adjusting the stroke of the pin of the connecting arm inside the slot of the positioning body; the adjusting means being positioned on the positioning body and movable between several stable positions inside the slot for modifying the longitudinal operating extension, wherein the adjusting means comprise a template, configured to match and superpose the slot with an opening of slotted extension different from the longitudinal operating extension of the slot, or a fork-shaped template shaped to match at least a portion of the slot and which can be superposed, in use, on the slot; wherein the template or fork-shaped template defines a masked slot or a half slot with one closed end shaped in the form of an open seat for stably housing the pin of the connecting arm in a pack configuration of the device and has a rod for supporting and connecting, at one of its ends or respectively at the relative closed end, with an adjusting slider associated with the positioning body and configured for slidably adjusting the position, when required, of the template or the fork-shaped template inside the slot. - a slider for transmitting the movement of the handle adapted to be housed and slidable inside a groove of an upper crosspiece of the sash; - a positioning body fixable in the groove of the upper crosspiece; the body having a slot with a longitudinal operating extension; - a connecting arm adapted to be articulated, at a first end, to the movable portion of the upper hinge and articulated, at the other end, to the positioning body by means of a pin housed in the slot of the positioning body; the arm having a relative surface provided with at least two elements (17, 18) protruding towards the groove and a free zone, spaced from each other along the arm; - a selector element connected to the slider, slidable inside the groove of the upper crosspiece for intercepting, according to a sequence predetermined by the relative position of the protruding elements (17, 18) and the free zone, the protruding elements (17, 18) and free zone, in such a way as to define corresponding closed, turning opening and tilted open configurations which can be adopted by the movable sash, the device being characterised in that it comprises means for adjusting the stroke of the pin of the connecting arm inside the slot of the positioning body; the adjusting means being positioned on the positioning body and movable between several stable positions inside the slot for modifying the longitudinal operating extension,