The invention relates to a heat and/or moisture exchange element, such as a heat and/or moisture exchange plate for plate heat and/or moisture exchangers, a storage mass layer for rotation heat and/or moisture exchangers and the like, wherein a greater and more precisely adjustable efficiency in transferring thermal energy and/or moisture is enabled without noticeable increase to the technical design complexity for production. According to the invention, the heat and/or moisture exchange element is designed from a structure penetrated by a plurality of hollow points and designed to be selectively permeable to water and water vapor and/or capable of storage.