To solve the problem in tactical decision-making of Unmanned Combat Aerial Vehicles (UCAVs) in air combatand inspired by the dual-process theory in cognitive psychologywe proposed a double-layer tactical decision-making strategy based on Case Based Reasoning (CBR) and MAX-MIN cloud reasoning.Firstlythe experience of pilots was converted into cases to construct a case libraryand the first-layer heuristic decision-making based on CBR was achieved by matching the degree of similarity between problem situations and original cases from case libraries.If the degree of similarity was lower than the thresholdit would turn to the second layerthe decision-making based on MAX-MIN cloud reasoning.The characteristic attributes concerning air combating were converted into cloud drops of attributesthen the cloud drops of combating rules was derived with the help of MAX-MIN cloud reasoning algorithmand furthermore the tactical decision scheme was obtained.The simulation result showed that the double-layer method can implement decision-making effectivelyand the time cost for decision-making satisfies the real-time request.