The invention relates to a folded medical cover (30) for use in operation rooms, especially for instrument tables (2) or operation tables or for the extremities of a patient. The cover comprises a tubular section (36) with at least one first open end (32) for putting the cover onto the table (2) or the extremity, and has a second, preferably closed end (34). The tubular section (36) is folded at least once transverse to its longitudinal direction (16) and the second end (34) functions as a stop (53) when the cover is pulled over the table or the extremity. The aim of the invention is to simplify handling of such a cover. Towards this end, an intermediate section (46, 48), disposed in the longitudinal direction (16) between an end section (38, 40) forming the second end (34) and the first open end (32) is turned inwards into the tubular section (36) in such a manner that the table (2) or the extremity can be inserted in the opening (49, 86) formed by the inwardly turned intermediate section (46, 48) and that, when the cover (30) is put on the table (2) or the extremity, the intermediate section (46, 48) which is turned inward can be unfolded when the table (2) or the extremity rests against the second end (34) as the cover is being drawn on.