Device for displacing tissues inside the organism, e.g. bone tissues, comprising an index part (1), a transport part (2), a threaded rod (3), a nut (4) mounted on the threaded rod (3), a drive shaft and driving means (71, 72, 73) linking the drive shaft to the nut (4), the transport part (2) being slidingly mounted with respect of the index part (1) and limited in rotation with respect of the index part (1) by a first stop (34) which cooperates with a first bracket (14, 15), wherein the rotation of the threaded rod (3) with respect of the e index part (1) is blocked by the first stop (34), the nut (4) being free to rotate (34) with respect of the index part (1).