The concept of a new distillation column which has no reboiler and no condenser, in which liquid and vapor reflux flows are generated by heat transfer between the enriching and stripping sections, is shown (abbreviated as HIDiC). Under some simplifying assumptions, a design method which is based on the famous but classic MaCabe-Thiele method is given, and a numerical example is shown for a benzene-toluene system. The feasibility of this distillation without reboiler and condenser was made clear.