An apparatus for heat-integrated distillation comprising an evaporation chamber (1) with an inlet for feed, an outlet 6 for vapor and an outlet (9) for remnants and a condensation chamber (2) divided into a number consecutive sections (2.1; 2.2; 2.3). The apparatus further, comprises a wall (3) separating the evaporation chamber (1) from the condensation chamber (2), and a compressor (10, 13, 16) for each section of the condensation chamber, at first compressor (10) being arranged in a line connecting the evaporation chamber (1) and the first section (2.1) if the condensation chamber (1) and the additional compressors (13, 16) being arranged in respective lines connecting consecutive sections.