A tire is made by first fitting a pair of bead rings interconnected by reinforcement over a gas-pervious annular liner to form an annular core assembly and then inflating the core assembly by directly contacting same with a fluid to impart to the core assembly an inwardly open U-shaped section. This U-section core assembly is then spacedly enclosed in a mold which is filled around the U-section core assembly with a hardenable elastomer which is hardened so it bonds to the reinforcement, rings, and liner to form a tire. Finally the liner is deflated and the tire is demolded. The liner has a pair of opposite end edges and is inflated by sequentially clamping each of the edges against a support so as to define between the liner and the support a pressurizable chamber, displacing one of the clamped edges toward the other so as to outwardly bow the liner, and introducing a fluid, typically air, into the chamber. It is also possible to mount the rings in the mold and thereafter introduce the liner into the form for fitting it and the rings together.