A respiratory mask, such as a facial mask, comprising a mask body (1) with an internal chamber (2) and a gas inlet orifice (3) in fluid communication with said internal chamber (2), and a hollow connector (4) connected to said gas inlet orifice (3) so that the internal passage (5) of the hollow connector (4) is in fluid communication with said internal chamber (2), said hollow connector (4) being rotatable. The hollow connector (4) is further mobile in translation along the axis (AA) of the gas inlet orifice (3) between at least a first axial position, wherein the connector can freely rotate around axis (AA) and a second axial position, wherein the connector is locked in a fixed position and can not freely rotate around said axis (AA). Further, locking means are provided for locking and for maintaining the hollow connector (4) blocked in said second axial position. The mask of the invention is suitable for treatment of respiratory disorders, such as obstructive sleep apnea (OSA).