The `Candy` singer - who welcomed his first child with wife Ayda Field on 18.09.12 - posted a picture on his official website showing himself holding the baby girl while topless.
Underneath, he wrote the caption: "DADDIES SECOND NAPPY CHANGE ....TEDDY`S SECOND DAY ON THE PLANET. (sic)"
The 38-year-old star recently revealed he is trying to clean up his act since becoming a dad, and trying to stop swearing so he does not pass his bad habits on to his daughter, who is to be known as Teddy.
He said: "I do have a potty mouth, I really do. I am going to have to curb it."
Robbie - who wed Ayda in 2010 - has previously claimed he would not be a strict father because he was so rebellious himself as a youth.
He joked: "It`s going to be really difficult for her to get in trouble though with me. My cousin, who I used to get in trouble with when I was about 12 or 13, his kids are now that age and he gives them a right rollicking."
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