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, 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.