The output time-delayed feedback control (TDFC) was introduced into the control prototype of the current-mode BOOST converter. Firstly, the discrete iteration model of the controlled system was set up, and its Jacobian matrix was obtained. Based on the analysis of equilibrium point variance and Jacobian matrix eigenvalue trajectory, the range of TDFC feedback gain was determined. According to the convergence of the state variable and duty ratio, the steady-state and dynamic properties of the system were discussed, and the feedback gain of TDFC was optimized. The simulation results confirm that the proposed method is valid and the theoretical analysis holds true.