A device for handling and stopping a pivotable shutter (A) has a fastening member (200) with a shaped plate (2) in order to apply in abutment with at least one of an inner face (A1), an edge side (A2) and a lower edge (A3) of the shutter (A). On the shaped plate (2) there are a fulcrum (600) and a holding element (5). An operating lever (1) is pivoted to the fulcrum (600) of the fastening member (200) and is engageable in the holding element (5) of the fastening member (200). The operating lever (1) is provided with a descending tract (11) intended to come in frontal abutment contact with a window sill (D). The operating lever (1) is equipped inside with means able to vary its shape so as to keep the shutter (A) in open position by abutment contact of its descending tract (11) with the sill (D) in dependence of the sill projection.