The 51-year-old `Pirates!` star - who welcomed Tabitha last September after a "fleeting affair" with Chinese actress Tinglan Hong, 32 - admits he is enjoying fatherhood much more than he expected.
He said: "[People] said never let anyone know, but the baby period is not that exciting. But I am excited, actually.
"I thought, well, I`ll bluff through - but very little bluffing has been required. I like my daughter very much. Fantastic. Has she changed my life? I`m not sure. Not yet. Not massively, no. But I`m absolutely thrilled to have had her, I really am."
He continued: "And I feel a better person. There probably is some truth that one of our main functions on the planet is to reproduce, because it feels like more of an achievement than it should do.
"Yesterday I took my daughter to see my father, who`s in hospital, and all the nurses were cooing over her. And I felt, well, pride."
But Hugh has vowed not to spoil his little one after witnessing first-hand the damage an unlimited bank balance can do.
In an interview with The Guardian newspaper, he explained: "There are few things in life I believe in 100 per cent - but another one is not giving your children money.
"I see nothing but f**k-ups among my trust-fund friends. It`s like 99 per cent f**k-ups. So I would not want to do that to my children, no."