A two-level tandem game formation control algorithm based on event triggering mechanism is proposed for the problem of formation control of multi-quadrotor unmanned aerial vehicles (QUAVs) system. This algorithm deconstructs the formation tasks of multiple QUAVs, thereby designing multiple games and constructing a two-level tandem game control framework. Firstly, the communication-capable QUAV pairs in the first-level game solve the position and velocity strategies that can bring the positions and velocities of both sides to a Nash equilibrium state by interacting with each other in the two games. Then, each QUAV weights the two sets of strategies generated from the first-level game with multiple QUAVs to generate the two control strategies that serve as the participation variables for the second-level game. The game model of the second-level game is further constructed around the position error and velocity error of each QUAV, and the optimal weight parameters are determined through the game optimization process, so as to obtain the optimal control strategy to make the position error and velocity error reach the Nash equilibrium. Furthermore, an event-triggered mechanism is introduced to dynamically adjust the control strategy, thereby conserving the limited onboard resources of the QUAVs. Finally, the effectiveness and feasibility of the proposed algorithm in multi-QUAV formation control are verified through simulation experiments and real platform tests.