The £45 million project, which is set to transform Dundee's waterfront area, was given the green light last year, with construction of the Kengo Kuma-designed museum expected to start this summer.
Creative Scotland is the latest body to award funding to the project, with £5 million going towards capital and development costs.
The Scottish Government has committed £15 million towards the building project with a further £9.4 million awarded by the Heritage Lottery Fund in January.
Another £15 million is to be made up from private donations, with £6.7 million raised so far.
Philip Long, director of V&A at Dundee, welcomed the latest funding announcement.
He said: "This is fantastic news for V&A at Dundee. We look forward to working closely with Creative Scotland on the delivery of truly innovative activity that nurtures, promotes and inspires contemporary design creativity across the country.
"We are steadily moving towards our funding targets and are extremely grateful for the support Creative Scotland and all of our partners continue to show in helping us realise this once-in-a-lifetime opportunity."
Janet Archer, chief executive of Creative Scotland, said: "Creative Scotland is delighted to be supporting the creation of V&A at Dundee as an international centre of design for Scotland.
"Our support will enable an exciting contemporary offering to local, national and international audiences, welcoming the world's best designers to Scotland, building on the strong design talent that exists here and ensuring a lasting design heritage for this country in years to come."