A multi-layer ceramic capacitor capable of being sintered at 1,080° C. or lower in a reducing atmosphere, having a permittivity of 2,000 or more, a temperature characteristic of X7R characteristic or X8R characteristic, and favorable life time property, in which the internal electrodes are formed of Cu or a Cu alloy, the dielectric ceramics are constituted with grains each of an average value for the diameter of 400 nm or less as viewed on the cross section and grain boundaries, the grain comprises a dielectric substance having a domain pattern and shells formed on the surface of the dielectric substance and with t/D from 2% to 10% where D represents an average value for the diameter of the grains as viewed on the cross section and t represents the average value for the thickness of the shells.