To compensate the bypassing, at the edges, of the liquid flowing downward in a distillation column, in order to achieve optimum mass transfer with the ascending vapor, a specific nonuniform distribution of the liquid trickling density over the column cross-section is established including the steps of establishing a nonuniform distribution of the liquid trickling density over the column cross-section in the distillation column and adjusting the liquid trickling density in the wall regions, said nonuniform distribution being achieved bya) arranging a number of outlet orifices or the diameter of the outlet orifices of a liquid distributor orb) arranging baffles in the stripping sections at height intervals from 0.1 to 2 m, in the case of dumped packings with baffles which project into the column space from the wall by about from 0.5 to 3 times packing dimensions orc) choosing the thickness and position of an insulating layer of a column jacket in the rectifying sections of a column at operating temperatures above ambient temperature according to a temperature difference between column and environment so that a desired additional area-related liquid flow is achieved in an edge region of the column.