Biomechanics I is an introductory course for Biomechanics II, dealing with biomechanical problems in musculo-skeletal system, and for Biomechanics III, dealing with problems of cardio-vascular system. To manage these two biomechanics, students need basic knowledge on structure and function of cells, on histology, physiology and pathology of tissues in human organism. Biomechanics I comprehends system approach to bioengineering, medicine, structure and functions of cells and elements of tissues. It deals with histology and physiology of epithels, connective, fibrous and bone tissues and of cartilages, especially of joint cartilage, as well as with muscle and neural tissue in greater detail. It deals adequately with pathology of the above tissues, especially from the viewpoint of degradation processes. In the part devoted to biomaterial engineering, the course focuses on constitutive and strength properties of basic biomaterials (collagen, elastin), and on properties of austenitic steels, alloys, high-pressure-polyethylene, and ceramics, being used in implants. Systematic approach to modelling in biomechanics is presented. The course presents also basic information on self-organization and synergy in biological branches.