The invention concerns a respiratory mask (20) with an improved single-lip cushion (1) that 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. The single-lip cushion (1) comprises a unique membrane (3) comprising a cradle-like (7) structure arranged in the nasal bridge region so as to better accommodate the nasal bridge area of the user thereby ensuring improved comfort and gas sealing.