The technique of development of mathematical model of multiple straight-through drawing mill for steel wire production is given. Structural diagrams of mathematical models of inter-drum gap, wire deformation center, as well as functional block diagram of threefold -through drawing mill are given. In order to reduce the diameter, the wire is pulled through the drawing machine. A mathematical model of metal deformation center in a monolithic drawing is developed in accordance with the method proposed by I.L. Pelin. Differential equations describing physical processes are modeled in MathLab system.