A construction having generalized and alternative joints, capable of making pillar materials self-stood at in horizontal direction of lower frame materials. Upper and lower frame materials formed by laminating three sawn plates with two or more different plate width in plate thickness direction, and a recessed groove or a protruding stripe of the alternative joints is formed between outer layer plate width of outer layer sawn plates interposing an intermediate layer of laminated layers and an intermediate plate width of intermediate sawn plate interposed as the intermediate layer. The pillar materials are formed by laminating three sawn plates with same length in plate thickness direction, and a protrusion or a recess, which can be fitted closely to the recessed groove or the protruding stripe, are formed at both ends by deviating an intermediate sawn plate in a longitudinal direction for a distance of the difference to outer layer sawn plates.