A continuous conveying apparatus of a unified reversing type in which tread faces can be turned around with driving elements (chains or the like) maintained on both sides of the tread faces. A movable member having tread faces is turned helicoidally by 180° around an axis which extends in a plane parallel to the reference plane of the tread faces and is inclined at an angle of 45° with respect to the traveling direction. Then, the movable member travels horizontally and turns helicoidally by 180° around another axis which is inclined oppositely to the aforementioned axis. Thus, the movable member travels in the direction opposite to the going direction. In the case where the movable member is a train of rigid tread steps, it is preferable that each tread step is divided into left and right halves, the left and right halves are connected by an elastic pin so that they can take a twisted positional relationship, the left and right halves are each driven by a twistable roller chain and supported at three points by a driving roller and two adjusting rollers, and the latter rollers are each guided on a cylindrical guide surface. An escalator with inclined tread faces can be formed by providing low projections escalator with inclined tread faces can be formed by providing low projections of trapezoid in cross section on a toothed in-part belt. There is also a structure in which each tread step is turned by 90° in a sloping section.