Abstract: The sighting device comprises first means for displaying at least one displacement mark parallel to the central vertical spider-line, means for altering the position of said displacement mark, means for measuring the target moving time which has elapsed between one initial moment at which the target seen in the range finder is superimposed with a reference mark, and a subsequent moment at which said target seen in the range finder held in immobilized position reaches said displacement mark; and second means for displaying at least one cross velocity adjusted mark, parallel to said central vertical spider-line, and whose position is determined first as a function of the projectile flight time, which is itself determined from the firing distance, and second, as a function of the target moving time, measured for a given displacement mark.