The present invention relates to a cuff (1) for receiving at least part of an outer extremity of a person, wherein the cuff (1) comprises an inner structure (2), which is provided to bear on the outer extremity of the person, and an outer structure (3), which supports the inner structure (2). The inner structure (2) comprises a cavity (24) filled with a fluid (22) which, within the cavity (24), distributes itself at least in part across the cuff surface (15) spanned by the longer sides (203; 204) and shorter sides (201, 202) of the inner structure (2) of the cuff (1). It makes available a receiving device which is an improvement on the prior art and which permits optimized transmission of force from a machine, in particular a rehabilitation mechanism or training apparatus, to a person. Since it is formed without seams, it is particularly suitable for use in an environment in which strict demands are placed on cleaning possibilities and hygiene.