Fuel cell assembly (1, 1a, 1b, 1c, 1d) comprising: - at least one fuel cell device having at least one solid electrolyte based fuel cell, wherein at least two terminal contacts (2a, 2b) between which the at least one fuel cell is disposed are provided for tapping off an electrical voltage produced by the fuel cell device, - at least one subassembly comprising at least one humidifying device (3, 4) which has at least one electrically conductive component in the form of a sheet metal heating element and at least one further component in the form of a water permeable membrane made of an electrically insulating material, wherein the at least one water permeable membrane is disposed between a first of the terminal contacts (2a, 2b) and the at least one heating element on the side of the first terminal contact facing away from the at least one fuel cell and has a lower electrical conductivity than the first of the terminal contacts (2a, 2b) and the at least one heating element, and - at least one supply duct for conveying a fluid medium which connects the first terminal contact to the at least one heating element through the at least one water permeable membrane, and wherein the at least one heating element is connected by an electrically conductive link (10, 10a, 10b, 10c, 10d, 10e, 10f) to the first terminal contact and/or at least one voltage supply, wherein an electrical potential at the at least one heating element is matched to an electrical potential present at the first terminal contact such that a maximum potential difference of 3 volts is present between the at least one heating element and the first terminal contact. - at least one fuel cell device having at least one solid electrolyte based fuel cell, wherein at least two terminal contacts (2a, 2b) between which the at least one fuel cell is disposed are provided for tapping off an electrical voltage produced by the fuel cell device, - at least one subassembly comprising at least one humidifying device (3, 4) which has at least one electrically conductive component in the form of a sheet metal heating element and at least one further component in the form of a water permeable membrane made of an electrically insulating material, wherein the at least one water permeable membrane is disposed between a first of the terminal contacts (2a, 2b) and the at least one heating element on the side of the first terminal contact facing away from the at least one fuel cell and has a lower electrical conductivity than the first of the terminal contacts (2a, 2b) and the at least one heating element, and - at least one supply duct for conveying a fluid medium which connects the first terminal contact to the at least one heating element through the at least one water permeable membrane, and wherein the at least one heating element is connected by an electrically conductive link (10, 10a, 10b, 10c, 10d, 10e, 10f) to the first terminal contact and/or at least one voltage supply, wherein an electrical potential at the at least one heating element is matched to an electrical potential present at the first terminal contact such that a maximum potential difference of 3 volts is present between the at least one heating element and the first terminal contact.