A high density water concentrator system of the invention comprises a high density water incoming line (T) in which high density water formed in a water distillation system is taken; a first part (I) comprising a first pond (I c) in which the water coming from the line (T) is accumulated and which is in connection with the atmosphere, an evaporation compartment (Ia) in which at least some part of the water taken from the line (T) is transferred by a high density water transfer line (T l) and which is provided with a vacuum environment therein, and a first column (I b); a steam line (B) by which the steam is taken from a steam source, a part of which is located in the evaporation compartment (Ia), which evaporates the water in the evaporation compartment (1a) by the passing of the steam; a second part (2) comprising a condensation compartment (2a) in which the steam coming from the steam line (B) and the steam obtained in the evaporation compartment (1a) are transferred, a cooling compartment (2b) in which condensation compartment (2a) is positioned, a second column (2c) which is in connection with the condensation compartment (2a) and in which the mixture of water and steam is accumulated; a distilled water outlet (A) by which the water in the second column (2c) is taken.