Firearm targeting device, comprising - an image capture means having an optical axis; - a distance measurement means having an axis corresponding to a sighting line of the firearm targeting device; - an inertial measurement unit; - an image reproduction means comprising a display; and - a control computer, - the control computer being configured so as to calculate a projectile trajectory to the target object and the angle of inclination (β) of said trajectory as a function of the direction to the target object and of the distance to the target object as determined by the distance measurement means, whilst taking into account weapon and projectile parameters of a weapon provided with the firearm targeting device and comprising a projectile-guiding barrel; - the control computer being configured so as to display an image of a target object, captured by the image capture means, on the image reproduction means in such a way that the image of the target object is aligned with a sighting mark when the angle of elevation of the barrel axis corresponds to the angle of inclination (β) of the projectile trajectory to the target object as calculated by the control computer, characterised - in that the inertial measurement unit is configured so as to calibrate the current angle of elevation of the barrel axis, and - in that the control computer is configured so as to compare the current angle of elevation of the barrel axis with the angle of inclination (β) and so as to activate a display on the image reproduction means if the current angle of inclination of the barrel axis matches the angle of inclination (β). - an image capture means having an optical axis; - a distance measurement means having an axis corresponding to a sighting line of the firearm targeting device; - an inertial measurement unit; - an image reproduction means comprising a display; and - a control computer, - the control computer being configured so as to calculate a projectile trajectory to the target object and the angle of inclination (β) of said trajectory as a function of the direction to the target object and of the distance to the target object as determined by the distance measurement means, whilst taking into account weapon and projectile parameters of a weapon provided with the firearm targeting device and comprising a projectile-guiding barrel; - the control computer being configured so as to display an image of a target object, captured by the image capture means, on the image reproduction means in such a way that the image of the target object is aligned with a sighting mark when the angle of elevation of the barrel axis corresponds to the angle of inclination (β) of the projectile trajectory to the target object as calculated by the control computer, characterised - in that the inertial measurement unit is configured so as to calibrate the current angle of elevation of the barrel axis, and - in that the control computer is configured so as to compare the current angle of elevation of the barrel axis with the angle of inclination (β) and so as to activate a display on the image reproduction means if the current angle of inclination of the barrel axis matches the angle of inclination (β).