Composites like investigated in the present study are seen as an area of high growth in the world due to their intrinsic benefits and important role in different industrial sectors such as aerospace, land transport, marine and construction. Unfortunately the material data provided by manufacturers do not contain all necessary information to predict the behaviour of advanced composite structures using different analysis tools. The basic idea of the identification technique developed on vibration tests is that simple mathematical models (response surfaces) are determined only by the finite element solutions in the reference points of the plan of experiments. The identification parameters are obtained minimising the error functional, which describes a difference between the measured and numerically calculated parameters of structural response. A significant reduction in calculations of the identification functional is achieved in this case in comparison with the conventional optimisation methods.