Silicones are rubber-like materials and exhibit a behaviour known as hyperelastic, which entails a large-strain elastic response under quasi-static loading and is near incompressible. Due to their near incompressible nature, the states of strain are typically complex. Their behaviour is a combination of tension, compression, shear and a very small amount of volume change. This study aims to characterise the mechanical behaviour of the Structural Silicon Sikasil® SG-500, with a focus on obtaining an accurate rheologic curve, to use in numerical models of adhesively bonded pointed fixed glass panels. The path to reach this aim was twofold. First, the results of the experimental test on uniaxial tensile and planar tensile tests were used to get the coefficients for eight different forms of hyperelastic material models. After that, these material models were used to calibrate the numerical model of the uniaxial tensile test. The results revealed that most of the selected material forms for structural silicon provided a good fit with the experimental results of the uniaxial tensile test. However, the first order of the Polynomial form (N = 1) was not able to accurately capture the deformation of materials in regions of large strains.