Venetian blind with orientable slats, comprising: a first and advantageously a second longitudinal guide (110,120) each having a longitudinal axis (111,121), the axes of the two longitudinal guides being parallel to each other; a first stack of orientable slats having a rotation axis situated in a first plane, a first end of these slats being guided by the first guide; a second stack of orientable slats having a rotation axis situated in a second plane incident to the first plane, advantageously a first end of these slats being guided by the second guide; a plurality of angle connectors, each angle connector comprising: a first fixation means rotably holding a second end of a slat of the first stack by its rotation axis; and a second fixation means rotably holding a second end of a slat of the second stack by its rotation axis.. wherein: the first and second fixation means (41, 42) operate between said second ends (312,322) to form a ball-joint connection; or at least one of said angle connectors comprises a body, the first and second fixation means (41,42) of said at least one said angle connectors being mechanically linked to the body by means of a pivoting link (411,421,440,441) or sliding pivot; characterised in that the rotation axes (411, 421) of the first and second fixation means (41,42) form an angle with an amplitude in an interval between 45° to 135°, preferably an angle of 90° +/- 5°. a first and advantageously a second longitudinal guide (110,120) each having a longitudinal axis (111,121), the axes of the two longitudinal guides being parallel to each other; a first stack of orientable slats having a rotation axis situated in a first plane, a first end of these slats being guided by the first guide; a second stack of orientable slats having a rotation axis situated in a second plane incident to the first plane, advantageously a first end of these slats being guided by the second guide; a plurality of angle connectors, each angle connector comprising: a first fixation means rotably holding a second end of a slat of the first stack by its rotation axis; and a second fixation means rotably holding a second end of a slat of the second stack by its rotation axis.. wherein: the first and second fixation means (41, 42) operate between said second ends (312,322) to form a ball-joint connection; or at least one of said angle connectors comprises a body, the first and second fixation means (41,42) of said at least one said angle connectors being mechanically linked to the body by means of a pivoting link (411,421,440,441) or sliding pivot; characterised in that the rotation axes (411, 421) of the first and second fixation means (41,42) form an angle with an amplitude in an interval between 45° to 135°, preferably an angle of 90° +/- 5°. a first fixation means rotably holding a second end of a slat of the first stack by its rotation axis; and a second fixation means rotably holding a second end of a slat of the second stack by its rotation axis.. the first and second fixation means (41, 42) operate between said second ends (312,322) to form a ball-joint connection; or at least one of said angle connectors comprises a body, the first and second fixation means (41,42) of said at least one said angle connectors being mechanically linked to the body by means of a pivoting link (411,421,440,441) or sliding pivot; characterised in that the rotation axes (411, 421) of the first and second fixation means (41,42) form an angle with an amplitude in an interval between 45° to 135°, preferably an angle of 90° +/- 5°.