An apparatus for constructing a building (K) is disclosed. The building (K) includes a framework constituted of permanent columns (10) and permanent beams (11). The apparatus (S) is provided with a temporary framework, (13) which is constructed and located above the building (K) under construction. Lifting mechanisms (14) for lifting the temporary framework (13) are provided at and supported by the permanent columns (10) of the building (K). Each of the lifting mechanisms (14) is able to lift the lifting mechanism (14) itself along the permanent column (10) of the building (K). A crane (12, 413, 511) is provided at the temporary framework (13) for hoisting and conveying structural elements (U) of the building (K), for example, the permanent columns (10) and beams (11). Alternatively, movable hoists (131, 607) are provided so as to transfer at least under the temporary framework (13).