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The ex-Dawson's Creek star, who welcomed his first child Olivia with wife Kimberly Brook last September, explained that he is "honoured" to have her for a daughter.
He told OK: "I feel like we hit the jackpot in some sort of cosmic adoption lottery, and I'm honoured to get to raise such a cool little soul."
Van Der Beek also added that he doesn't feel like he owns Olivia which gives the pair a good bond.
He said: "She's strong, demanding and sweet. As proud as I am of her, I don't feel any ownership, just a bond."
