The present invention provides a highly dielectric elastomer composition which shows a high dielectric constant in a wide temperature range from low to high temperature and has a low dielectric loss tangent, and a dielectric antenna composed of the highly dielectric elastomer composition. A dielectric antenna including a molding of a highly dielectric elastomer composition composed of an elastomer and a highly dielectric ceramic powder mixed with the elastomer and an electrode formed on the molding. The highly dielectric ceramic powder of barium titanate.neodymium ceramic has a temperature coefficient α(unit: 1/° C.) of a dielectric constant of the ceramic powder on 25° C. standard ranging from −200×10−6 to 100×10−6 over a temperature range from −40° C. to 100° C. The dielectric constant of the highly dielectric elastomer composition is ≧7 and a dielectric loss tangent thereof is ≦0.01.