Drobyshevsky’s hypothesis on genetic connection of near-parabolic comets with Jupiter, Saturn, and the transpluto zone (from 50 to 3000 AU) is considered. It is shown that on the average 5.6 comets passed through areas of 10⁶ (AU)² of the transpluto zone through out the history of observations. On the whole, 619 comets crossed the ecliptic heliocentric distances from 0 to 2 AU. It is shown that of the total number of 945 near-parabolic comets, eight comets had close encounters with Jupiter and five comets with Saturn. The Kreutz comets, 1277 objects, did not approach Jupiter closer than at 3 AU. Their minimum distance from Saturn was 5.5 AU. The minimum distance of the Kreutz comets from the edge of the transpluto zone was 28.8 AU. The conclusion is made that Drobyshevsky`s concept on the origin of near-parabolic comets is wrong.