A method for producing a solid state battery, comprising: providing a first solid state electrolyte membrane layer; applying an electronically conductive matrix to the cathode side of the first solid state electrolyte membrane layer; building up a cathode layer on the cathode side of the first solid state electrolyte membrane layer and applying an anode layer to an anode side of the first solid state electrolyte membrane layer, wherein the cathode layer has a higher elasticity than the first solid state electrolyte membrane layer, and the modulus of elasticity of the cathode layer is lower than the modulus of elasticity of the first solid state electrolyte membrane layer. A solid state battery may be produced using the method according to the invention.