A method for producing a laminated dielectric, which comprises laminating a raw material layer containing a high dielectric constant glass ceramic composition comprising from 30 to 70 mass % of a Ba—Ti compound powder having a Ti/Ba molar ratio of from 3.0 to 5.7 and from 30 to 70 mass % of an alkali free glass powder containing, by mol %, from 15 to 40% of SiO2, from 5 to 37% of B2O3, from 2 to 15% of Al2O3, from 1 to 25% of CaO+SrO, from 5 to 25% of BaO and from 25 to 50% of SiO2+Al2O3, and a raw material layer containing a low dielectric constant glass ceramic composition comprising from 10 to 70 mass % of a ceramic powder and from 30 to 90 mass % of an alkali free glass powder wherein SiO2+Al2O3 is at least 34 mol % and larger by at least 9 mol % than that in the above alkali free glass powder, followed by firing.