The invention belongs to the technical field of steel structure construction, and particularly relates to an installation method of a special-shaped and curved-surface suspension type steel structuresystem. The problems are solved that the construction precision of a traditional installation method is difficult to guarantee, the construction period is long, a large amount of cost needs to be invested in scaffold and inclined suspender layer-by-layer hoisting, and many high-altitude hidden dangers exist. The special-shaped and curved-surface suspension type steel structure system comprises a core cylinder, a giant truss, a temporary support, an inclined suspender and beams of all floors. The installation method comprises the following steps that S1, the core cylinder is constructed; S2, the temporary support is installed; S3, the giant truss is assembled on the ground; S4, the giant truss is hoisted; S5, the inclined suspender is installed; S6, the temporary support is unloaded; S7, the beams of all the floors are hoisted; and S8, the displacement of the giant truss is monitored in the steps of S4-S7. According to the installation method, the construction precision is guaranteed, the installation efficiency is high, the installation construction period is shortened, and the operation safety risk is reduced. The erection and hoisting cost of a scaffold is saved, the high-altitude butting joints are reduced, the near-edge protection cost is reduced, and therefore the construction cost is reduced.