A curable composition including a fluorine-containing elastomer having a cyano group in its trunk chain and/or side chain and inorganic nitride particles in an amount of 0.1 to 20 parts by weight based on 100 parts by weight of the fluorine-containing elastomer, or a curable composition including a specific crosslinking agent selected from an oxazole crosslinking agent, an imidazole crosslinking agent and a thiazole crosslinking agent, a fluorine-containing elastomer having a cure site crosslinkable with the crosslinking agent and inorganic nitride particles. Also disclosed is a molded article obtained by curing the above-mentioned curable composition, and a process for production of a molded article which includes a step of primary vulcanization of the curable composition and a step of secondary vulcanization following the primary vulcanization.