Analysis of armed conflicts in recent years shows the widespread use of highly maneuverable firearms, which are characterized by rapid movement during hostilities, frequent changes of position after the fire mission. The effectiveness of defeating a highly maneuverable target and performing a fire task depends on the correct choice and priority in assigning a particular artillery firing task. The main factors influencing the effectiveness of fire damage to highly maneuverable targets are: timeliness, accuracy, suddenness, obtaining complete and accurate data on the position, size and nature of targets, the correct choice of means of hitting the target, the purpose of the fire task and method of firing targets. The primary task of artillery units is to defeat highly maneuverable targets while they are in firing positions. This time is called the effective time to complete the fire task. The timeliness of hitting highly maneuverable targets can be assessed by the ratio of reaction time required to use the artillery unit in combination with additional reconnaissance means allocated for counterbattery combat, to hit the target with the set ammunition consumption and the probable time of target targeting after reconnaissance. The time spent by highly maneuverable targets at the position after their detection by reconnaissance means is random, distributed according to the law of equal probability and depends on the tactical and technical characteristics of weapons, time of fire task, terrain, season, time of day, etc., as well as at what point the target was identified. Fire on the target can be timely only if it is detected and the coordinates are transmitted to the fire units by the time it leaves its positions. When determining the degree of damage to highly maneuverable targets, it is necessary to take into account the probability of timely fire, ie all shells intended to hit the target, spent until the target left the position (out of range). To destroy the battery (platoon) of self-propelled armored guns at the firing position and the platoon of self-propelled armored SAM at the position, the task of firing is to prohibit action, even with the use of two artillery divisions. To defeat the battery (platoon) of MLRS and the battery (platoon) of self-propelled unarmored guns in the firing position, the task of one division is to suppress, and when two divisions are involved in firing on the battery (platoon) of MLRS – destruction. To defeat a platoon of self-propelled armored ATGMs at the deployment line, firing one division, firing task is a ban on action, and if at least two divisions are involved - there may be suppression. Keywords: firing tasks, highly maneuverable targets, effective time, effectiveness of fire damage.