Add to ORKGA homogenization numerical approach for the prediction of the mechanical properties of technical textile structures is described in this paper. The numerical analyses deal with modelling at two scale levels. The first scale aims to predict the mechanical behaviour of the textile by the numerical analysis of a Representative Volume. The second scale modelling evaluates the mechanical response of the entire textile component employing the homogenized textile mechanical behaviour obtained in the first step. The numerical approach is used to predict the stress-strain state of a polyester monofilament textile component employed in a narrow industrial application, screen printing or serigraphy