Strontium titanate (SrTiO3) and barium zirconate (BaZrO3) are made into a solid solution at a predetermined ratio. Specifically, a dielectric ceramic composition is represented by a basic composition (SrTiO3)(1-x)(BaZrO3)x (in the formula, X satisfies 0.63≦X≦0.95). More preferably, X satisfies 0.67≦X≦0.90 in this range. Such a dielectric ceramic composition may be integrated with alumina to form a composite ceramic structure.