Current paper presents the application of inverse optimization approach for estimation of stiffness for glass panel specimens. The approach is based on elaborated metamodels of numerical frequency responses and minimisation of variation between physical tests. Present approach highlight several advantages in comparison with conventional mechanical test methods. As example 4-point bending present exposure of testing personnel to hazardous eruption of glass shreds once annealed and tempered specimens reach ultimate stress level. Therefore non-destructive test according to ASTM E756-05 for determination of stiffness from self-frequency responses has been selected as verification reference compared to the inverse approach. For initial optimisation task three design parameters: elastic and shear modulus has been implemented in simulation with commercial FEM code ANSYS. A Latin hypercube design of computer experiments within given domain of interest has been evaluated, where metamodel responses was obtained by partial polynomial approximations. An overall good agreement has been obtained between inverse and standard ASTM E756-05 method. As a future step this method will be extended for glass laminated panels.