The actor's wife Emma Heming-Willis, 35, tweeted the picture showing Bruce cuddling their one-month-old daughter Mabel Ray - and showing the action man's softer side.
She wrote: "A beautiful day in Budapest with the loves of my life. Daddy and Mabel cracking each other up," wrote his missus.
Willis is in the Hungarian capital filming A Good Day to Die Hard, the latest Die Hard film.
Mabel is the couple's first child together. She was born on April 1, although this is the first photo of her. Bruce is used to girls - he has three daughters, Rumer, 23, Scout, 20, and Tallulah, 18, with his ex-wife Demi Moore.
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