The invention relates to a fabricated fully-prefabricated stair and a fabricated stair building. The fabricated fully-prefabricated stair comprises stair flight plates, step plates, step plate connecting pieces and stair flight plate connecting pieces, wherein the step plates are located above the stair flight plates and are connected with the stair flight plates through the step plate connecting pieces; the ends of the stair flight plates are connected with the stair flight plate connecting pieces; and the stair flight plates are sandwich flat plates, and face plates and bottom plates of the stair flight plates are made of UHPC (Ultra High Performance Concrete). The fabricated fully-prefabricated stair is integrally formed in a factory, has the characteristics of light weight, high strength, good ductility, good durability, good crack resistance, crack self-repairing, convenience in construction and installation, material saving, high safety redundancy and the like and can be widely applied to various fabricated buildings in industry, civil use and the like. Enough deformation space is formed between the stair flight plates and a main structure of the fabricated stair building, so that damage of external force to the stair and the main structure can be reduced, and the idea of conquering with flexibility is embodied.