The Duke of Cambridge said his spaniel Lupo was "coping alright" with the new addition to the family.
Prince William said, "As a lot of people know who have got dogs and are bringing a newborn back, they take a bit of time to adapt, but he's been alright so far."
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It will be a misty and cloudy start in many southern and central parts which will slowly lift this morning.
The president-elect also warned US companies they would face "retribution" for setting up their business operations abroad.
Penalties of £100 or a court fine of up to £1,000 can now be handed to anyone caught lighting up in a private vehicle with someone under 18.