The present invention provides a dielectric elastomer composition which has been improved to have an excellent flame-retardant property in consideration of influence on environment and a satisfactory dielectric characteristic as a material for an antenna; and a member for the antenna formed by molding the dielectric elastomer composition. The dielectric elastomer composition contains 50 to 400 parts by weight of a metal hydroxide such as aluminum hydroxide powder, magnesium hydroxide powder and 10 to 200 parts by weight of a brominated flame retardant except polybromodiphenyl ether and polybromobiphenyl for 100 parts by weight of an elastomer such as ethylene propylene rubber. At a frequency of 1 GHz and a temperature of 30° C., a dielectric constant of the dielectric elastomer composition is not less than 3, and a dielectric loss tangent thereof is not more than 0.02. The member for the antenna is formed by molding the dielectric elastomer composition.