The biomimetic approach is about to profoundly influence our way of innovating, of designing more efficient and more environmentally friendly technological systems. Many inventions inspired by nature are around us without and we are not aware of their origin. One area of science in particular that is directly associated with this approach is biomechanics and bioengineering. Indeed, this domain characterizes the living from the point of view of structures, properties and their interactions. This characterization is the essential prerequisite for attempting a partial or total copy by biomimicry. In this article, the different levels of imitation, the fundamental principles of the approach and the advantages of biomimicry are presented. Finally, the examples illustrate the pivotal role of biomimicry and bioinspiration as a globally oriented approach towards the use of nature-inspired solutions for the development of sustainable and responsible man-made systems.