A hinge for the pivotal connection a movable sash to a fixed frame of a window, said fixed frame and said movable sash comprising respectively at least one vertical upright (10, 20) defining a vertical rotation axis of said movable sash with respect to said fixed frame and a horizontal crosspiece (11, 21) defining a horizontal axis perpendicular to said rotation axis, said axes defining with a third perpendicular horizontal axis a main Cartesian coordinate system and three consequent planes, i.e. horizontal plane, first vertical plane and second vertical plane, said hinge comprising: - a first element (3,) adapted to be connected to said fixed frame and a second element (7, 7') adapted to be connected to said movable sash; - a system of levers (4, 5, 6, 8) hinged with each other, which connects said first element to said second element so as to obtain at least a roto-translational movement of said second element with respect to said first element and, consequently, of said movable sash with respect to said fixed frame; whereinsaid second element comprises a plug pivotally connected to said system of levers, a main body defining a seat housing said plug with play, and a cover element which engages with play on said main body and is integrally fixed to said vertical upright, adjusting means (72c, 73a, 73f) also being provided for adjustment of the relative position of said movable sash and said fixed frame, the hinge being characterized in that said adjusting means exerting during operation a pushing force respectively on said plug, on said main body and on said cover element in three directions (X, Y', Z') defining a secondary Cartesian coordinate system, one of said directions being defined by said rotation axis, said secondary Cartesian coordinate system corresponding, in the closed position of the movable sash, to said main Cartesian coordinate system, so that these pushing movements performed by said adjusting means in said three directions cause an adjustment of the distance of said movable sash from said fixed frame with respect to said second vertical plane, said horizontal plane and said first vertical plane, wherein said adjusting means comprise a first screw having an axis (Y') representing a horizontal axis (Y') of said secondary coordinate system, said screw engaging in said plug, so that, upon rotation of said first screw, it exerts a pushing force on said body along said axis (Y') and causes the relative displacement thereof with respect to the cover element, this movement resulting in an adjustment of the distance of the movable sash with respect to the fixed frame in the first vertical plane, wherein said adjusting means comprise a second screw for the connection of said plug to said body, said screw being arranged perpendicular to said first screw along a second horizontal axis (Z') of said secondary Cartesian coordinate system, so that, upon rotation of said second screw, it exerts a pushing force on said body, causing the relative displacement thereof along said second horizontal axis (Z') with respect to said cover element and performing adjustment of the distance between the movable sash and the fixed frame with respect to the second vertical plane and wherein said adjusting means comprise a third screw arranged along said vertical axis and perpendicular to said first screw and second screw, defining also a vertical axis (X') of said secondary Cartesian coordinate system, said third screw engaging on said cover element and abutting on said body, so that, upon rotation of said third screw, it exerts a pushing force on said body, causing the relative displacement thereof and therefore adjustment of the distance between said movable sash and said fixed frame with respect to said horizontal plane. - a first element (3,) adapted to be connected to said fixed frame and a second element (7, 7') adapted to be connected to said movable sash; - a system of levers (4, 5, 6, 8) hinged with each other, which connects said first element to said second element so as to obtain at least a roto-translational movement of said second element with respect to said first element and, consequently, of said movable sash with respect to said fixed frame;