After two years of masterplanning, the development was given the green light by Leeds council in mid-August.
The four-year development programme will deliver new offices, residential and leisure space, being linked with existing buildings - such as the Leeds College of Music - by new squares, piazzas and gardens.
The site is also home to West Yorkshire Playhouse, BBC North, and the Northern Ballet Company.
Andrew Gardner, partner in DLG Architects' Leeds office, said: 'We believe that our proposal for Quarry Hill is one of the most unique and radical that Leeds has ever seen.
'Because of Leeds' reputation and recognition as one of the most thriving cultural centres in the UK, diversity and visual impact were the key requisites for creating a very special sense of space.'
Work is due to start on site at the beginning of next year with completion due in phases until 2010.