Braiding is a versatile and cost-effective approach to generating various composite structures for mechanical, sports, and biomedical engineering applications, which are different from each other. For example, a stent is a braided structure and blood penetration in it is essential as much as the right function. Predicting the tensile responses is a prerequisite for the success of implementation of braided structures, and it is usually performed via destructive mechanical testing that might be costly and/or time-consuming. Therefore, it is essential to provide a model that can accurately predict the tensile modulus. In this research, a theoretical model is developed using the simplification of a braided structure and is validated via testing of biaxial and triaxial braids composed of polyester, glass, and basalt yarns on a 16-carrier vertical braiding machine. Experimental results not only are used for the model validation but also show the effectiveness of axial yarn presence, hybridization, and the presence of high-performance yarn in the braided structures on the tensile properties. A good correlation between theoretical values and experimental results is observed approving the high accuracy of the proposed model. This paper is likely to fill a gap in the state of the art and provide pertinent results that are instrumental in the design of hybrid-braided structures with minimum computational/experimental effort. The research innovation centers on the use of two different yarns to make hybridization, simplicity of the model to be used for biaxial and triaxial braided structures, and a start to omit destructive tests.