Cradle cap is more unsightly than harmful and will usually go away on its own with little interference from you. Medically referred to as seborrhoeic dermatitis, it primarily develops on the top of the head, but it can also be found on other parts of your baby, including their face.
However, if it is severe or you would simply like to just get rid of it, here are four things you can try: 
Wash their hair
Washing your baby’s head can stop overproduction of oil which is thought to be one of the reasons behind cradle cap. A tiny drop of baby shampoo once a week should be enough to stop it getting any worse or even stop it from happening. However, it is important you ensure that all shampoo is washed out properly.
Massage in some petroleum jelly
Another way to get rid of it is to gently massage petroleum jelly onto their scalp to loosen up any of the hard, crusty parts. Leave it on for about five minutes - this can help to soften it - before washing it away. Make sure you rinse your baby's hair with a little shampoo to ensure it is fully gone from their head.
Brush it away
By rubbing some baby cream onto their head – just like the petroleum jelly - you can soften it enough to simply brush it away with a baby comb. Again, make sure you wash away any residue to ensure there is no build up of oil to clog that can clog their pores.
Let it go away on its own
There is no need for you to get rid of or even treat your baby’s cradle cap unless advised to by a doctor.
While not harmful, it is advisable that you talk to your GP if it doesn’t seem to be clearing at all, is getting worse or has starting spreading. They may be able to prescribe a medical shampoo or even antifungal medication if it is caused by a yeast infection.