The invention relates to an aiming device for weapons whose targets are disposed at changing distances and whose fired projectiles follow a curved trajectory. The aiming device calculates the distance from the weapon to the target. The calculated distance is used as a basis for correcting the point of aim with allowance for the ballistical trajectory, the latter being dependent upon the particular weapon and particular ammunition used. To correct the point of aim, a storage medium storing the ballistic trajectory correlates the range-finding data with the ballistic trajectory data. The resulting signal actuates a row of diodes which are reflected into the beam path of the optical system. Depending upon the range and the trajectory, a particular diode of the row lights up and is brought into registration with the target.