Prince William and Duchess Kate have been left furious after pictures of a pregnant Kate in a bikini while on a private holiday in Mustique have been published in an Italian magazine.

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The royal couple – who are expecting their first child together – are currently holidaying with the duchess’ family on the private island of Mustique and the photos show Kate’s ever-growing baby bump as she relaxes on the beach.

Gossip magazine Chi – which caused outrage when it published a photograph of William’s mother Princess Diana as she lay dying – has decided to print the image as has Australian publication Woman’s Day.

Chi magazine, which is owned by former Italian prime minister Silvio Berlusconi, boasts: “The extraordinary images of the Duke and Duchess of Cambridge on their dream holiday in the Caribbean.

“The future mum, now four months pregnant, wore a tiny bikini which showed off her visible bump.”

However a St James’s Palace spokesperson said: “We are disappointed that photographs of the Duke and Duchess on a private holiday look likely to be published overseas.

“This is a clear breach of the couple’s right to privacy.”

The news of the pictures comes six months after images of the Duchess – who was known as Kate Middleton before her 2011 wedding – were published of her sunbathing topless.