A static load analysis model for porcine knee ligaments is presented. The proposed analytical model incorporates the viscoelastic behavior of ligaments. Accurate mechanical characterization of knee ligaments requires a precise modeling of their constitutive relationships. To achieve this objective, a set of relaxation experimental tests was performed on porcine knee ligament specimens. It used the lateral collateral ligament (LCL), anterior cruciate ligament (ACL), posterior cruciate ligament (PCL), and medial collateral ligament (MCL). The outcomes of these relaxation experiments were analyzed for each specimen of ligament applying Fung’s quasi-linear equations to capture the viscoelastic behavior. The model constants for these equations, thus obtained, were utilized to characterize the constitutive relationships of porcine knee ligaments in the proposed load share model. Initial findings suggest that the residual load capacity in the ligaments may decrease to less than half of its initial value. This observation likely provides a probable explanation for the phenomenon where knee ligaments, initially taut after surgical operations, can transition to an unstretched state within a couple of weeks.