The paper presents a methodology for designing a fuzzy model for the middle section of a continuous processing line for tension processing of various materials (sheet metal, tubes, foil, etc.), which is only described by input/output relations. The measured input/output data of the continuous line are the basis for creating its fuzzy model, which can be further applied in the design of a suitable controller and the verification of its properties by simulation. The first part of the paper describes the procedure of the fuzzy model construction; the second part presents the application of the model in the system of the middle section of a continuous processing line. The fuzzy model structure is based on the state space representation of the dynamic system in discrete form. The properties of the fuzzy model were verified by numerical simulation in Matlab. The obtained results have confirmed the rightness of the design method and its applicability to dynamic systems with multiple inputs and outputs.