There is proposed a system for managing fire of snipers, including a central station (CS) and a plurality of N individual kits (IK), each operated by one sniper. Preferably, the IK includes: --a rifle, --an optical sight (OS) mounted on the rifle with a mechanism for correction of the OS, --equipment including devices activating the rifle's firing pin; --a laser target designator having an axis coinciding with the OS axis, satellite navigation receiver (SNR), video-camera, symbol generator, adding device summarizing output signals, readiness sensor installed on the rifle's trigger, command decoder; zoom-lens actuator; electronic switches controlling the zoom-lens actuator, laser rangefinder; commutator receiving output signals from the laser rangefinder and SNR, and radio-modem module (IK-RM) provided with a two-way communication with the CS furnished with certain devices specified therein. The system enhances the synchronousness and target hit accuracy, and is capable of counteraction to acoustic counter-sniper systems.