A composition including a fluorine-containing polymer and a cross-linking agent, wherein the fluorine-containing polymer contains a vinylidene fluoride unit, a unit of a fluorine-containing monomer (1) represented by the following general formula (1): CHX1═CX2Rf   (1) wherein one of X1 and X2 is H, the other is F, and Rf is a linear or branched fluoroalkyl group having 1 to 12 carbon atoms, and a unit of a monomer providing a crosslinking site. The monomer providing a crosslinking site is a monomer having at least one crosslinkable group selected from a cyano group, a carboxyl group, an alkoxycarbonyl group and a hydroxyl group. Also disclosed is a crosslinked rubber molded article obtained by crosslinking the composition.