Braided composite structures, characterized by their inherent brittleness, necessitate precise damage prediction and prevention to ensure structural integrity/reliability. This study introduces an innovative method for enhancing damage resistance in tubular triaxial hybrid braided composites. These composites employ Epoxy resin as the matrix, with polyester serving as the bias yarn, and glass and basalt as the axial yarns, woven at varying braiding angles. Tensile tests reveal a compelling trend: a reduction in the braiding angle correlates with an increase in the failure load, indicative of quasi‐ductile behavior. A model is also derived for predicting tensile elastic modulus, which demonstrates a strong correlation with experimental results. Furthermore, finite element simulations are utilized to analyze damage within the triaxial hybrid braided composite specimens, providing empirical confirmation of progressive damage occurrence. This research offers a promising avenue for designing/manufacturing advanced composite materials with superior damage‐resistance holding immense potential across a spectrum of engineering applications. Highlights: The tubular triaxial hybrid braided composites were produced by Epoxy resin as the matrix, with polyester as the bias yarn, and glass and basalt as the axial yarns at different braiding angles.An innovative method was introduced for enhancing damage resistance in tubular triaxial hybrid braided composites.The effect of operating parameters (braiding angle, type of bias yarns, production method) was investigated.Was tried to predict tensile modulus values in tubular triaxial hybrid braided composites by finite element simulation and developed equations.Finite element simulation exhibited excellent performance in the prediction of tensile behavior of structures manufactured by the innovative method. [ABSTRACT FROM AUTHOR]