The pair were photographed in Los Angeles on their Easter holiday, cooling down with a trendy iced smoothie called an Acai bowl - a thick smoothie made from Acai berries, that is usually topped with oatmeal, fruit or peanut butter.
And it was clear that little Harper has her dad wrapped around her little finger as he looked adoringly at his daughter as they enjoyed the sunshine.
Along with Harper, David and wife Victoria have sons Brooklyn, 16, Romeo, 12 and nine-year-old Cruz.
And although he loves all his children equally, Becks recently admitted that having a daughter is like nothing he ever expected.
He's said: "To have a daughter is a whole different thing. I'm not saying I love my daughter more, but the boys are independent."
When asked how he will cope when Harper eventually starts to date, David joked: "She's not going out. She's going to be like Rapunzel - up in the tower."
David has also talked about Harper's strong-willed character, saying getting her ready to go out in the mornings can be a struggle.
He told Jonathan Ross: "[Harper] gets her outfit ready the night before and then she gets up in the morning, we go down to get her ready and she changes her mind.
Speaking to chat show host Jimmy Kimmel, David joked that Harper's comments have made him worry about his shape.
He said: ''I was bathing Harper and had got her out and was towelling her down when she said: 'Daddy I love you but I don't like you, you're so chubby!' I didn't think I was but.....!"
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