Abstract: A tire, the inner liner of which comprises a rubber composition based on at least predominantly a highly unsaturated diene elastomer, a reinforcing organic filler, graphite, chalk, a plasticizing hydrocarbon resin, the glass transition temperature, Tg, of which is greater than 20° C. and the softening point of which is less than 170° C. The use of such a composition in the inner liner of the tire, including graphite and a non-reinforcing filler of chalk type, makes it possible to notably improve the airtightness properties with respect to a control composition which comprises only graphite and which already performs very well in this aspect, but also with respect to a control composition conventionally used in the inner liners of tires, while maintaining a good level of the stiffness and processability properties as the conventional control compositions.