To provide a fluorinated elastomer composition which can improve, in production of a fluorinated foamed rubber by foaming and crosslinking a fluorinated elastomer using an organic peroxide as a crosslinking agent, the foamed state and physical properties of the fluorinated foamed rubber.A fluorinated elastomer composition which comprises 100 parts by mass of a fluorinated elastomer, from 0.1 to 20 parts by mass of a blowing agent and from 0.05 to 10 parts by mass of a crosslinking agent comprising a peroxide compound, and which contains no crosslinking aid or contains a crosslinking aid comprising a compound having at least two carbon-carbon double bond-containing groups in the same molecule, in a content of at most 0.3 part by mass, is foamed and crosslinked to produce a fluorinated foamed rubber.