Composite steel concrete girder bridges, steel reinforced concrete structures, composite columns, etc. have been widely used in Japan. However, entirely new composite structures or hybrid structures have appeared as a result of pursueing rationalization of design and construction. Application of steel elements in concrete arch bridges as a purpose of erection, concrete structures having a cross section including steel web plates, or mixed structures unified with concrete structures and steel structures are examples of such new structures. This paper discribes the trend of above mentioned new structures as well as reviews the basic matters of the development of composite structures and hybrid structures. Progress of materials such as fiber reinforced plastics is also described in relation to composite and hybrid structures