The swashbuckling adventure's set in the 17th century.
A dreadlocked Depp plays pirate Jack Sparrow and Orlando a blacksmith.
But it's the first Disney film not all kids can go and see on their own because it's a 12A (PG 13 in the US).
Star-studded premiére
That restricts children aged 12 and under. They're not banned but it would be up to an adult whether they can go or not.
Monday night sees the European premiére in Leicester Square, London.
Stars expected on the red carpet include Orli and Keira Knightley - who plays the kidnapped governor's daughter - Charlotte Church, Duncan Blue, Daniel Bedingfield and Blazin' Squad.
Pirates is out in the UK on 8 August.