The actor's co-stars Chloe Moretz, Eva Green and Michelle Pfeiffer also appeared on the red carpet in Leicester Square, London.
Director Tim Burton was joined by his partner and Dark Shadows actress Helena Bonham Carter for the event.
Depp stars in the project as an ancient vampire who wakes from a long sleep to reconnect with his descendants in the 1970s.
Dark Shadows opens on May 11 in US and UK cinemas.
> Tim Burton: 'Dark Shadows pokes fun at the weirdness of families'
Photo gallery: Dark Shadows UK premiere: