Work on site will begin next month under the £80.11 million project, with the main building completed by the end of 2017 and opened to the public before June 2018.
Completion of V&A Dundee will help create hundreds of jobs and inject millions of pounds into the economy.
Dundee City Council administration leader Councillor, Ken Guild, said: “I am delighted that work to create a world-class museum and visitor centre will start soon at the heart of our central waterfront.
“This project will help to attract further investment into the city and we are already experiencing unprecedented levels of investor interest in Dundee.
“Construction of V&A Dundee will give our economy a significant boost and help to create hundreds of jobs. The building project itself will also bring considerable attention to Dundee as the vision of architect Kengo Kuma takes shape.”
Regional Director of BAM Construction in Scotland, Doug Keillor, said: “This is the most unique construction project that my team have ever been involved in, both in architectural vision and in the way it will be built. It’s challenging, but in a good way.
“Watching it take shape over the next few years using a combination of local, national and international expertise, will be very satisfying.”