To address the real-time and efficiency requirements for multi-target cooperative interception by unmanned combat systems in dynamic battlefield scenarios, this paper proposes a greedy target assignment and fire scheduling method based on dynamic time window (GTAFS-DTW). By constructing a relative motion model between combat units and targets, the proposed method incorporates engagement distance constraints, task execution constraints, and target maneuver characteristics. a dynamic time window screening mechanism is designed with the optimization objective of minimizing engagement time and impact time difference. On this basis, a hierarchical greedy strategy is adopted to prioritize unit-target pairs with overlapping feasible engagement intervals, and temporal cooperative optimization is achieved through iterative adjustment of window boundaries and fire scheduling. Simulation results demonstrate that GTAFS-DTW effectively reduces impact time deviation to within 0.5 s in both lateral and longitudinal queue scenarios compared with traditional discrete particle swarm optimization (DPSO), significantly enhancing computational efficiency and satisfying real-time optimization requirements.