Modern bridges is symbolled by long-span, light-weight and high-strength, of which the box girder and cable-supported bridges are two important parts. To that point, the corresponding research progress in 2019 of the related theories is summarized by the authors^[1], including the theory of the new box girder with corrugated steel webs and traditional box girder, the interaction between cable and saddle in multi-tower cable bridge, the ultimate load capacity of cable-supported bridges, and application of UHPC technology in cable-supported bridges. A review is made to further understand the research trends of the above five aspects in 2020. In addition, the recent development of the cable-supported bridges is discussed. It is concluded that as the emergency of the new structural forms the refined analysis theory of box girder and cable-supported bridges have new opportunities to extend.