A motorized weapon gyroscopic stabilizer which creates a stabilizing effect for single shot, semi-automatic, and fully automatic weapons. The rotating mass that generates the gyroscopic stabilizing effect can be the rotor of the motor. The motor is designed to allow the mass to rotate around the open core of the motorized weapon gyroscopic stabilizer. Because of its open core design the motorized weapon gyroscopic stabilizer allows the fired projectile to pass through it, or be mounted in line with the sighting mechanism allowing the target alignment—line of sight to pass through the motorized weapon gyroscopic stabilizer, or both.