A system and a method for printing of three-dimensional models and apparatus for controlling the height and thickness of the layers of interface material forming the 3-D models being printed, is provided. The method includes the steps of dispensing a pre-determined quantity of interface material from at least one printing head to form at least one interface layer; leveling the dispensed interface material to a pre-determined height; curing the leveled interface material; and repeating the steps of dispensing, leveling and curing thereby producing a plurality of interface layers to a configured pattern layer for forming the three-dimensional model.