William's girlfriend Kate Middleton bought him the £200 gift for Christmas - but he now has to share it with his grandma.
A Palace source told The People: "When she saw William playing a game after lunch at Sandringham she thought the Nintendo looked tremendous fun and begged to join in.
"She played a simple ten-pin bowling game and by all accounts was a natural.
"It was hilarious. William was in fits of laughter. He was enormously impressed at having such a cool gran.
"And although she is 81 the Queen's hand-eye co-ordination was as good as somebody half her age.
It's not the first time the Queen has joined the hi-tech revolution.
In 2001 she got her first mobile phone and has regularly upgraded to one with the latest features.
Her Majesty set up her own email account years ago.
In 2005 she took delivery of an iPod that stores more than 100,000 tunes.
And last June she added a trendy BlackBerry to her technological armoury - and made sure her senior staff were equipped with them too."