In the process of coal tar distillation, first, wet tar obtained from the coal coking process are imported into distillation apparatus called distillation traps. In this step the tar within these devices is heated up to boiling point until the tar is almost free of water, which is called dry tar. Then, the dry tar is inserted into the distillation column to separate the fractions.der to model the coal tar distillation process, this thesis used the Thetha Method Convergence to Complex Columns Model in the MATLAB software environment. As well as using data from Coal Tar Refinery Company. in Preliminary distillation of coal tar the separation is usually done by different fractions. Therefore, the tar can be For fraction Light Oil (Benzene, Toluene and Water), the Phenol Oil (Phenol), the Naphthalene Oil (Naphthalene), The Wash Oil (Acenaphthene), the Anthracene type 1 (Anthracene), the Anthracene type 2 (Fluoranthene) and fraction Pitch (Pyrene, Cresyn And Benzo[ghi]perylene) were selected as coal tar fractions representatives. The most important parameters for selecting these representatives for coal tar fractions are the presence of the part of representative in the intended cuting, well as the same or near chemical and physical properties of intended fracyions. The Comparing percentage composition of output fractions from the top, bottom and side stream both towers the results of modeling with industrial data using these components as the representative for each of the fractions it shows, to a large extent, justified the behavior of different fractions in coal tar distillation. The percentage of the errors between the modeling results and the industrialized data is insignificant for the fractions that are extensively low in the output streams. So, given that so far no modeling has been performed on the primary distillation of coal tar with the choice of representative for each of the cuts, this percentage of the errors obtained can be somewhat reasonableIn this dissertation, parameters including the distribution of the composition of the fractions in two phases of liquid and vapor, temperature distribution and distribution of flow of stream on the trays, as well as the percentage of composition of the cuttings in the outflow of towers was examined