A construction steel platform system using a tuned liquid damper (TLD) and a tuned mass damper (TMD) for composite tuned damping is provided. According to the construction steel platform system using a TLD and a TMD for composite tuned damping, a composite damper is composed of the TLD and the TMD overlapping each other, and a construction steel platform is placed above the double dampers. By adjusting a hole diameter of a partition plate in the TLD, a liquid level in a water tank, a stiffness of a spring at an edge of a friction support and mass of materials of a top of the steel platform, the whole steel platform system can achieve composite tuned damping. The TLD and the TMD can be flexibly combined in series or in parallel according to requirements of actual wind and earthquake loads.