Prior to the fabrication and implementation processes, it is imperative to accurately predict the mechanical strength of the textile composite. The major goal of this work is to develop a three-dimensional finite element method to estimate the mechanical response of a woven fabric hybrid natural textile composite under compression. A mesoscale finite element model for a plain-woven fabric unit cell has been developed and analysed for its mechanical characteristics. For their mechanical robustness, six natural fibre plain-woven patterns viz. flax plain, jute plain, basalt plain, inter-yarn hybrid basalt-flax plain, and jute-flax plain were compared and thoroughly examined. These patterns’ mechanical properties were modelled and critically contrasted using matrix materials like thermoset epoxy and thermoplastic polypropylene. The basalt-flax plain with epoxy as the matrix material has excellent mechanical properties among the numerous analysed patterns. Thus, it was concluded that transverse-longitudinal shear characteristics and yarn cross-sectional stiffness have the greatest influence on compressed textiles. In parametric analysis, the impact of geometric parameters on strain energy, artificial strain energy, displacement, and contact pressure – such as yarn width, yarn spacing, and fabric thickness was thoroughly investigated and discussed in detail. The current model can accurately mimic a textile fabric with various weaving patterns, material properties, and stress conditions.