This invention provides a stacked semiconductor ceramic capacitor with a varistor function, comprising semiconductor ceramic layers 1a to 1g formed of a semiconductor ceramic. In the semiconductor ceramic, the mixing molar ratio m between Sr site and Ti site is 1.000 < m <= 1.020. A donor element such as La or Sm is dissolved in solution in crystal grains, and an acceptor element such as Mn, Co, Ni or Cr is present in an amount of not more than 0.5 mole (preferably 0.3 to 0.5 mol) based on 100 mol of the Ti element in a grain boundary layer. Further, the average diameter of the crystal grainsis not more than 1.0 [mu]m (preferably 0.5 to 0.8 [mu]m). According to the above constitution, a stacked semiconductor ceramic capacitor with a varistor function, which has good electric characteristics, has good specific resistance and electrical proof, has excellent reliability, and can realize a layer thickness reduction and a size reduction, can be realized.