Bauman Lyons won the competition to design the landmark attraction in June 2005, beating six other practices, including Alsop and Partners.
The media centre is one of three key projects in the Remaking Barnsley initiative, which began with Will Alsop's Tuscan-style masterplan.
The prominent city-centre development, on the site of the courthouse car park, comprises business units, public spaces, showcase facilities, a café/bar and conference suites.
Its design reflects Barnsley's industrial architecture, with contemporary stone and glass facades.
'This iconic showcase building will become a symbol of future businesses in Barnsley,' said council leader Steve Houghton.
David Kennedy, the council's development director, said: 'The project builds upon the success of Barnsley's Innovation Centre and is hopefully the beginning of another growth sector in the borough.'
Bluestone is the main contractor. The complex is set to open in 2007.