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