An elevator system permitting horizontal movement of a normally vertically moving elevator cabin, the elevator cabin being automatically attached to or detached from an elevator frame and horizontally moved to or from another elevator shaft or other destination. While an elevator cabin is supported on an elevator frame or other surface, various cables, rods, plugs and other equipment are automatically connected to or disconnected from the elevator cabin to enable vertical or horizontal motion of the elevator cabin. Once disconnected from such devices, the elevator cabin can be propelled horizontally out of the elevator frame and elevator shaft, onto other surfaces, such as floors of a building, and move horizontally to another destination. An elevator cabin may also be horizontally moved into an elevator shaft and onto the surface of an elevator frame, and connected to the frame, thus enabling such cabin to then move vertically within an elevator shaft.