If your father has made you the owner of this money then zakah shall be fardh on you after passing one year and you will have to pay its zakah. If your father pays its zakah from your side with your clear permission then too zakah shall be paid. But if your father does not pay your zakah then you should take out the zakah amount from the bank and pay it. If it is not possible then pay the zakah from your pocket money or adopt any other method as per your situation.
However, if your father has not made you its owner then its zakah shall be wajib on your father as the amount of deposit shall not come into your possession merely by the intention that it was meant for you. It is imperative to note that it is unlawful and haram to have fixed deposit account with the intention of receiving interest as it is haram and unlawful.
Allah (Subhana Wa Ta’ala) knows Best
Darul Uloom Deoband