The construction of the Stord Bridge was undertaken as part of the same contract as the Bømla Bridge, which was awarded in December 1998 to Triangle Contractors, a joint venture between NCC and HBG Steel Structures. Most of the work was carried out by NCC with HBG having responsibility for the steel parts of the deck and the cables. HBG had previously built the steel for the Osterøy Bridge, which opened in 1997. The responsibility for the cables was given to Brown Beach Associates and Hordaland Mekaniske Verksted. Construction started on 20 February 1999. After the pylons were completed on 25 September 1999, two catwalks were erected between them, with the constructors choosing two continuous catwalks instead of three separate pairs. Extra stability to the catwalks was achieved by building connections between the two.