The invention relates to a device for selective ventilation of one or both lungs of a patient, comprising an endotracheal tube to be arranged in the trachea of the patient and having a proximal and a distal end, an endobronchial tube connected thereto and having a proximal and a distal end, the distal end of which extends beyond the distal end of the endotracheal tube, and means for positioning by feel the distal end of the endobronchial tube in at least a longitudinal direction of the trachea. The positioning means are herein adapted to also position the distal end of the endobronchial tube in a peripheral direction of the trachea. The positioning means can be arranged close to the distal end of the endobronchial tube and can extend so far outside the periphery thereof during use that they come to lie on the carina of the patient. The positioning means can also be asymmetrical relative to the periphery of the endotracheal and/or endobronchial tube and can be adapted for co-action with the trachea wall. The positioning means can comprise a balloon or a resiliently deformable member.