A stiffness prediction model was built for carbon/glass fiber-reinforced & 2D triaxial braided composites (2DTBC) in accordance with the feature of spatial geometry of carbon fiber and glass fiber, and a strength prediction model was established based on Tsai-Wu failure criterion, thus a general process of progressive failure analysis of braided composites being created. The corresponding material testing was designed and the engineering constants and strength parameters obtained from it verified the reliability of theoretical models. Furthermore, a strength analysis of three-point bending for middle crossbeam-roof made of carbon/glass fiber-reinforced 2DTBC was conducted. The results show that failure-prone positions are concentrated in the contact positions and edges of crossbeam-roof.