Metamodelling is scientific current in the theoretical and experimental engineering science and mechanics. Metamodelling, or meta-modelling in software engineering and systems engineering among other disciplines, is the analysis, construction and development of the frames, rules, constraints, models and theories applicable and useful for modelling a predefined class of problems. This method allows obtaining information about the structure of the investigated object by analysing solely the registered output measurements of this object (machine, mechanism, technological process), and identifying both the mathematical model of the object and its input parameter values, using both natural experiments and computer experiments with different mathematical modelling software (ANSYS, LSDYNA, ADAMS, etc.). Creation of metamodels for the dependence of the response surface data to the input factors is facilitating to formulate the multiobjective optimization goal functions and constraints, conducting optimization. Verification and validation of results provides the best optimization data.