Around 150sq m of the existing roof will be transformed into a wildflower meadow to provide food and shelter for wildlife including bees, butterflies and moths.
Funding of around £20,000 has come from a landfill tax pot called Western Riverside Environment Fund, a partnership between Western Riverside Waste Authority and Groundwork UK.
Green Roof Consultancy head Dusty Gedge, who is designing the roof, said: "We hope installing a green roof on such an iconic building in central London will raise the profile of these important urban habitats for wildlife."
The roof will include wetland features and a wildflower meadow with nectar- and pollen-rich plants, areas of bare ground for invertebrates to bask and burrow as well as piles of deadwood for mini-beasts to shelter and feed upon. Researches will monitor species.
Buglife officer Clare Dinham said: "Creating a green space on a roof in central London provides insects with a lifeline of food and shelter. Pollinating insects are in decline due to habitat loss so we hope to use the high-profile V&A as a flagship for other buildings."
Last year Buglife worked with the Green Roof Consultancy to produce the UK's first living roof guidance report including details on why and how to create a living roof for wildlife.
To seen the report click here