The invention relates to a hinge for a door or a window, comprising: —a frame hinge part (1), which can be mounted on a frame and which has a mounting portion (2) and a cylindrical receiving bush (3); —a leaf hinge part (4), which can be mounted on the leaf and which has a mounting portion (5) and a hinge strap (6); and—a shaft element (7), which articulatedly connects the two hinge parts (1, 4) arranged one over the other in the vertical direction and which has a shaft pin portion (8) insertable into the receiving bush (3) and a portion located at the opposite end with a socket (10) for the hinge strap (6); wherein the hinge strap (6) can be moved within the socket (10) in the shaft element (7) perpendicularly to the direction of the longitudinal axis by means of an adjustment device (11) In the socket (10), each of at least one clamping piece (12), preferably two clamping pieces (12), is connected to the shaft element (7) by means of an associated connecting element (13). Each clamping piece (12) has an undercut extending perpendicularly to the longitudinal axis of the shaft element (7), and each undercut engages with an associated groove (14) in the hinge strap (6), the groove being undercut inversely correspondingly. Each clamping piece (12) can be moved between a clamping position and a release position by means of the connecting element (13).