The invention relates to eyeglasses comprising two lens units (1) that are fitted with a device for keeping the eyeglasses on a wearer's head, further comprising a nose bridge (5) that connects the two units and includes a central portion (5a) to be disposed about the wearer's nose; at least one of the units is provided with a duct (7) inside which a lateral portion (5b) of the nose bridge (5) is slidingly mounted by means of a mechanism for adjusting the position of the lens unit relative to the nose bridge, said adjusting mechanism comprising a member (8) that is rotatably mounted in the duct (7); said member and the lateral portion (5b) of the nose bridge (5) comprise coupling means (9, 10) designed to convert the rotation of the member into a relative translational movement between the lateral portion and the duct.