Kate Hudson shares touching video of affectionate dad Danny Fujikawa kissing their newborn daughter

Kate Hudson and Danny Fujikawa have already proven just how much they care about their newly welcomed daughter Rani by sharing a heart-wrenchingly sweet moment with us.

The 39-year-old mother melted hearts when she posted a video of her husband to Instagram in which he is seen gently embracing his daughter and planting soft kisses onto her precious face.

Hudson posted the photo sometime after she had already snapped and shared a photo of her "nipple whip" product with followers last Friday.

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As the tune of Patty Griffin's "Not Alone" played in the background, the exchange between Fujikawa and his daughter was witnessed. The caption read:

“Kind beautiful man, your pure love is such a gift #daddysgirl."

Indeed, Rani appeared to be quite content with her father's touch and smile as he stared down at her in the heartwarming clip.

Hudson had previously shared another intimate moment of herself with her daughter as they enjoyed "The early morning calm" on Thursday.

In the photograph, a tiny Rani is seen resting on her mother's shoulder as light poured in from a window in front of the two.

Rani was born on October 2, as signified by Hudson's post which simply read "She's here" just two days after the birth.

In a later post, she explained the reason for naming her daughter Rani:

"We have decided to name our daughter Rani (pronounced Ronnie) after her grandfather, Ron Fujikawa."

She continued:

"Ron was the most special man who we all miss dearly. To name her after him is an honor."

The very first photo Hudson shared of Rani was perhaps the cutest as she lay wrapped up in a striped blanket fast asleep.

Hudson simply wrote: "Our little rosebud" under the post.

The actress has two boys from previous relationships. Ryder, 14, from ex-husband Chris Robinson, and Bingham, seven, with Matt Bellamy who was her fiance at one point.

Rani is her first daughter and will be the baby of her family. It looks like she's already spoilt in addition to being a daddy's girl.