A successful prosthesis has to emulate physiological and biomechanical performances of the native ligament. Today, there is no ideal artificial ligament that simulates the performances of the human anterior cruciate ligament. This work aims to study the impact of the braiding parameters on ligaments mechanical performances. The braiding parameters include yarn count, braid architecture, and machine settings (take-up speed). Two braided architectures were designed: a biaxial quadruple braid and a triaxial quadruple one incorporating elastane. Mechanical properties of these structures were measured and compared to those of the natural ligaments. Elastic recovery under traumatic force was studied in order to compare the elasticity of the manufactured samples. The obtained results showed that the elastic recovery was improved with the incorporation of elastane filaments and prostheses mechanical properties match closely those of the native anterior cruciate ligament. Finally, a response surface methodology was used to predict and optimize the prostheses mechanical properties.