Electrochemical Element, Solid Oxide Fuel Cell, and Methods for Producing the Same

Realized are an electrochemical element and a solid oxide fuel cell that have a dense electrolyte layer and that have excellent durability and robustness, and methods for producing the same. An electrochemical element includes: a metal substrate having a plurality of through holes an electrode layer provided over a front face of the metal substrate and an electrolyte layer provided over the electrode layer wherein the through holes are provided passing through the front face and a back face of the metal substrate the electrode layer is provided in a region larger than a region, of the metal substrate in which the through holes are provided, and the electrolyte layer has a first portion coating the electrode layer and a second portion that is in contact with the front face of the metal substrate