A respiratory mask (1, 2, 3), preferably a nasal mask, constituted of 4 parts assembled together comprising a first part made of a main body (1) having a tubular-shape portion (2) and a central passage (3), a holding arm (6) projecting upwardly from said main body (1), and two lateral arms (4, 5) projecting laterally from said main body (1), the two lateral arms (4, 5) and the holding arm (6) being integrally fixed to said tubular-shape portion (2) of the main body (1); a second part comprising a flexible cushion (2) fixed to the rear side (2b) of the tubular-shape portion (2) of the main body (1); a third part comprising a hollow curved connector (20) fixed to the front side (2a) of the tubular-shape portion (2) of the main body (1), said hollow curved connector (20) being rotatable with respect to the main body (1), and a fourth part comprising a tubular connecting piece (22) detachably fixed to the hollow curved connector (20), said tubular connecting piece (22) being rotatable with respect to the hollow curved connector (20). The respiratory mask of the present invention is useable for treatment of a respiratory disorder or condition in non-invasive positive pressure ventilation or in a nasal continuous positive airway pressure therapy of sleep disordered breathing conditions, such as obstructive sleep apnea.