A system for recognizing collision positions of a plurality of moving objects in a screen includes an infrared camera configured to obtain an image frame when a plurality of moving objects move toward a screen, a memory configured to store a program for calculating a collision position in the screen on the basis of the image frame, and a processor configured to execute the program stored in the memory. By executing the program, the processor detects all of the plurality of moving objects from the image frame to generate a graph where moving objects included in a successive image frame are connected to one another, and calculates a collision position of the moving object included in the image frame and a collision position of the moving object in the screen on the basis of the graph.