The invention discloses a construction method of an irregular convex and concave facade structure scaffold, belongs to the field of building construction, and aims to solve the technical problem of how to set up an external scaffold and an external overhanging structure support system simultaneously. According to the technical scheme, the construction method is characterized in that the outer contours of all floors are overlapped and modeled through BIM and CAD software, an inner frame body and an outer frame body are integrally taken into consideration, and the ranges of the external scaffoldand an overhanging inner support frame are determined; and then electronic typesetting is carried out on arranging positions, length, angles and models of overhanging I-shaped steel so that materialscan be saved to the maximum extent. The construction method specifically comprises the following steps: 1, manufacturing a three-dimensional model, specifically, an appearance model of a building ismade in advance by utilizing BIM; 2, making an overhanging plan; 3, determining the overhanging range of the inner support frame; 4, determining the overhanging range of the external scaffold; 5, selecting and arranging the overhanging I-shaped steel; 6, constructing the overhanging inner support frame; 7, constructing a filling frame; and 8, dismantling a scaffold body, specifically, the scaffoldbody can be dismantled after the construction of outer wall decoration is finished.