To address the issue that traditional anti-missile fire control systems for key anti-aircraft guns lack sufficient response time when engaging supersonic and low-altitude penetration targets， this paper systematically investigates anti-missile fire control technology based on target angular rate. It proposes a fast hit solution based on the least squares preprocessing conversion measurement Kalman filter smoothing algorithm （LS-CMKFS） and an emergency hit solution based on angular rate. In addition， a fast calculation control strategy is developed， balancing the fire control system’s response time with computational accuracy. The simulation results confirm the effectiveness of this fire control algorithm in enhancing the interception performance of the anti-aircraft gun system.