Hi, thank you for your question. Just a bit more information required to fully assist you:
-How old is your daughter?
-Are you married to the father/were you married to him when your daughter was born?
-Is he named on her birth certificate?
-Are there any court orders in place, if so what?
-Where does he want to take her?
Thanks. In the circumstances he cannot take her abroad without your explicit consent and he will likely be stopped at the border if he does not have written consent for her travel. If you oppose the trip for reasonable reasons then you can apply to court for a prohibited steps order using form C100 and a £215 court fee to your local family court. If you have her passport then it will be near impossible for him to travel with her.
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