Provided is a firing weapon simulation system simulating leading firing. The firing weapon simulation system is configured to include laser firing apparatus mounted on a firing weapon and a target sensing apparatus attached to a target. The laser firing apparatus includes a first control unit, a firing switch which is driven cooperatively with firing of the firing weapon, an image processing unit which measuring a leading angle from an image including the moving target, a first GPS receiver, a laser beam firer, and a motor assembly which rotates the laser beam firer. When the firing switch is switched on, the first control unit generates the firing data, allows the motor assembly to reversely rotate the laser beam firer by a measured value of the leading angle, and allows the laser beam firer to emit the laser beam carrying the firing data. The target sensing apparatus includes a second control unit, a sensing circuit unit which extracts firing data from the laser beam, a second GPS receiver, and a hitting situation indicator which indicates hitting result according to a driving signal transmitted from the second control unit. The second control unit solves simultaneous equations of the trajectory equation of the firing weapon and the equation of motion of the target to determine whether or not the target is hit and outputs a result of the determination to the hitting situation indicator.