The tire with an inner core includes a resilient annular shell similar to a conventional vehicle tire, and an annular inner core disposed therein, allowing the vehicle to continue traveling if the annular shell is damaged. The resilient annular shell includes a central portion and a pair of sidewalls extending therefrom. The annular inner core is disposed within the resilient annular shell and includes an inner annular edge, a pair of side annular edges, and an outer annular edge. In one embodiment, the outer annular edge of the annular inner core contacts the interior surface of the central portion of the resilient annular shell, and the pair of side annular edges are spaced apart from the interior surfaces of the pair of sidewalls of the resilient annular shell for receiving pressurized air therebetween. Preferably, the annular inner core is formed from a wire-reinforced resilient material, such as rubber.