The 39-year-old actress and her boyfriend Danny Fujikawa have welcomed their first child together. Picture: Reuters

Kate Hudson has given birth to her baby daughter.

The 39-year-old actress and her boyfriend Danny Fujikawa have welcomed their first child together, after their daughter Rani Rose Hudson Fujikawa was born on Tuesday.

Taking to Instagram to welcome her new arrival, Kate - who also has sons Ryder, 14, and Bingham, seven, from previous relationships - wrote: “We have decided to name our daughter Rani (pronounced Ronnie) after her grandfather, Ron Fujikawa. Ron was the most special man who we all miss dearly. To name her after him is an honor. 

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She’s here 💕

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“Everyone is doing well and happy as can be. Our family thanks you for all the love and blessings that have been sent our way and we send ours right back.”

The Almost Famous star announced she was expecting a baby girl with Danny in April, with an adorable gender reveal video posted to social media.

She captioned the clip at the time: SURPRISE!!! If you’ve wondered why I’ve been so absent on my social channels it’s because I have never been more sick! It was the most sick first trimester of all my children."