A tire unit consisting of a coreless air tire (4), containing a reinforcing ply (7), and a rim (3), the edges (8, 10) of which are permanently connected to one another solely by bonding. The part of the tire edge (8) containing the reinforcing ply is bonded to the latter only on one side of the rim. The rim edge (10) has an undercut (28) in which the tire edge (8) contains an annular reinforcement (29). A main bonding zone (23, 37) is provided in the undercut or adjacent to it on the outside. In the main bonding zone, the tangential angle (25) to the axis (1) is at no point (24) smaller than at each point which lies closer to the tire side wall (6) or smaller than the angle (20) at which the tire side wall (6) runs clear of the rim under all normal loading conditions. Moreover, a process is proposed for producing such a tire unit.