Hybrid structures have two major objectives. One is to make concrete structures lighter by combining different technologies. And another is to make structural functions clearer by combining different materials. This report outlines two examples of these objectives. The example of the first objective to make structure lighter is light‐weight bridges. We have been building many types of hybrid bridges, for example, the corrugated steel web type, the hybrid truss type and the composite girder type. However, when steel members are used, maintenance is required throughout the lifetime of the structure. To solve these issues, a new type of hybrid bridge has recently been developed – the butterfly web bridge. This new structure combines conventional concrete with high‐strength fibre‐reinforced concrete. The web consists of precast panels shaped like a butterfly wing. These members are reinforced using only prestressing steel in the tension area and have a thickness of just 15 cm. The remaining concrete members are cast‐in‐place. As a result, this new type of bridge achieves a weight reduction of 15 to 20 % compared with a conventional concrete box girder construction. The example of the second objective to make structural functions clear is the hybrid stay cable anchorage system in the tower of cable‐stayed and extradosed bridges. Basically, the steel absorbs the tensile forces of the horizontal component of the stay cable and the concrete absorbs the compressive forces of the vertical component. The steel box anchorage system developed during the 2000s has evolved to make its cheaper to construct in the 2010s. We have undertaken many experiments in our laboratory to confirm the structural behaviour of these evolving systems. The evolution of stay cable anchorage systems is outlined in this article.