After joining the BBC in 2007 from music sharing site Kazaa/Altnet, Rose helped the corporation revamp iPlayer into a hugely successful streaming service. He will start the new role with Canvas on May 1.
Also joining the Canvas team is Freeview's marketing boss Tim Hunt, who will act as the venture's new director of marketing.
Alongside working at Freeview, Hunt was also previously marketing director at IPTV joint venture Project Kangaroo, which was blocked by the Competition Commission last year.
According to recently released figures, Hunt will oversee a budget of £48.4m over the first four years after the Canvas platform launches.
"It's great to welcome two such experienced individuals to the project," said Canvas director Richard Halton.
"They both bring key skills and expertise in their fields that allow us to begin the next phase of Project Canvas as we await the outcome of the regulatory process."
Celebrating his appointment, Rose said: "This new role is a brilliant opportunity to help shape the future of television and I'm excited to be leading the collaborative work by the partners on developing innovative technology to make sure the Canvas proposition provides a great experience for its users."
Hunt added: "Canvas is a proposition that has huge potential appeal to viewers, both as a great place to watch TV and as a brilliant piece of new technology."
Last week, the Canvas partners - the BBC, ITV, Channel 4, Five, TalkTalk, BT and Arqiva - made a submission to the Office Of Fair Trading in an effort to offset competition concerns about the project.