If you intend to take paternity leave you have to give your employer notice that specifies:
You must give your employer this notice in, or before, the 15th week before the week the child is due. In cases where this is not possible, or reasonably practicable, for example, if the child is born prematurely or the pregnancy is discovered very late, then notice must be given as soon as is reasonably practicable.
If you qualify for paternity leave you may be asked by your employer for a self-certificate, form SC3 'Becoming a Parent', confirming you are entitled take the leave (you can download a pdf file of this form from the HMRC website).
By law, you only have to give your employer a completed certificate if they ask you to. However, in practice, if you qualify for ordinary paternity leave, then you automatically qualify for statutory paternity pay (SPP), and you will need to complete the self-certificate form in order to claim it. You only need to submit the self-certificate to your employer once to confirm your eligibility for both leave and pay and you should keep a copy of it so both you and your employer are clear of the dates and information.
You can choose when your leave period will begin, but it must take place within 56 days of the child’s birth and it must start on one of these dates:
Once the child has been born and, as soon as is reasonably practicable, you must give your employer notice of the date that the child was born on.