The invention relates to a fitting (10) for connecting a window casement, a door leaf or the like to its frame. The fitting (10) makes it possible for the casement/leaf - in dependence on the casement/leaf being coupled to the frame by a further fitting - to be either tilted or placed parallel to the main plane of the frame and then displaced parallel to the main plane of the frame. For this purpose, the fitting (10) has a scissors-action opening-out mechanism (16) which is guided, via a control pin (24), in a control part (14), which can be connected to the frame. A catch of the control part bounds the path of the control pin (24) during the closing movement of the casement/leaf from a position in which the latter has been displaced parallel to the main plane of the frame. This allows a controlled and defined arcuate closing movement. In contrast, an actuating element which is connected to the scissors-action opening-out mechanism (16) makes it possible to shift the catch when the casement/leaf is to be tilted, in order to allow greater movement of the control pin (24) and thus to allow the leaf/casement to pivot out rectilinearly into a tilting opening position. The actuating element here is designed preferably in the form of a slider for displacing the leaf/casement or is connected to a slider for displacing the leaf/casement.