To handle stationary formation control of unmanned aerial vehicles (UAVs) within a finite time under bearing constraints, a method for stationary finite-time formation control of UAVs based on bearing information was proposed. Relying solely on relative bearing information, this method aims to ensure that UAVs achieve the target formation within the predefined finite time. Compared to existing control methods, the proposed strategy introduced a time-varying scaling gain mechanism that allows users to customize convergence time and ensures the continuity of control input derivatives. This study also presented sufficient conditions for ensuring near-global convergence and preventing collisions between UAVs. By incorporating a leader-follower control structure, the method achieved global convergence and employed a gradient descent approach to ensure the UAVs complete the formation task within a finite time. To validate the effectiveness of the control method, simulation experiments were conducted on Simulink and Gazebo platforms. The results demonstrate the effectiveness of the strategy.