A humidification cell of a fuel cell apparatus includes a first outer plate and a second outer plate. A gas chamber, a humidification water chamber, and a water-permeable membrane that separates the two chambers are disposed between the first outer plate and the second outer plate starting from the first outer plate. A first water-permeable support element is disposed between the first outer plate and the membrane. The first support element is made of a woven fabric formed of a plastic. A discharge and an entrainment of liquid water can be prevented during load changes or other non-stationary fuel cell operating states accompanied by a sudden change of gas volume flow in that the plastic is a fluoropolymer or a fluoroplastic. Advantageously, the fluoropolymer or fluoroplastic is formed at least partly, preferably entirely, of an alternating copolymer of ethylene and chlorotrifluorethylene (E-CTFE).