The book presents the systemic model and coordination technology of hierarchical systems for conceptual design of mechatronic and other engineering objects. Conceptual formal model of mechatronic systems was created using construction and technology of hierarchical systems with their standard element Aed, dynamic systems, numeric positional systems and hierarchical geometry. This conceptual model allows the connected formal descriptions of a mechatronic system structure, its aggregated dynamic representation as a unit in its environment, the system environment, its process and system-environment interactions; the system coordinator and its coordination, i.e. design and control, processes. Besides, the conceptual model takes into account the connected descriptions of mechatronic subsystems of different nature, i.e. mechanical, electronic, electromechanical, and computer. Availability of HS coordinator allows the realization of inter-level connections of mechatronic system being designed. An overview of modern approaches and methods of conceptual design and engineering design methods are presented in this book in Introduction – Chapter 1. An overview of wide-spread geometric models which are used in CAD systems is given in Chapter 2. The formal basis of the conceptual model developed with the help of hierarchical systems, dynamic systems, and numeric positional systems is presented in Chapters 3. Chapter 4 presents the description of the proposed design method and hierarchical geometric representations of mechatronic objects being designed. The exemplary tasks of the conceptual design of methatronic objects are presented in Chapters 5-9. Among the tasks there are biomechatronic surgical robot system (SRS) design, conceptual design of dinosaur Bioloid robot, human motion design, design and testing of electronic printed circuit boards (PCB), technological manhole cutting machine (MCM) design and control. Conclusive remarks are finally presented in the book.