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The article addresses the use of hierarchical morphological design framework for engineering skills acquisition. The hierarchical approach is the best way for structuring some complex design skills in the field of composite systems. Applications of the hierarchical morphological approach involve hierarchical description, design and analysis of composite systems, and an analysis of system evolution. Our material describes the following: (i) some hierarchical structures and combinatorial operations, (ii) hierarchical information, (iii) hierarchical processes (e.g., AHP, hierarchical decision making), (iv) our hierarchical morphological approach (HMA), (v) many applications of hierarchical morphological approach, (vi) some strategies for acquisition of engineering skills, and (vii) usefulness for engineering education and extension / structuring of engineering skills.