They are to visit five continents in the space of 12 days, calling in at seven cities, ahead of the launch of the new series, Capaldi's first as The Doctor.
The pair will be accompanied by the BBC1 programme's executive producer Steven Moffatt when they head out on their world jaunt in August for publicity and fan events.
It begins in the UK, visiting Cardiff on August 7, moving on to London and winding up in Rio de Janeiro in Brazil on August 19. Along the route it will call in to South Korea, Australia, the US and Mexico.
Fans saw Capaldi become the latest regeneration of the Doctor at Christmas and he has spent the past few months working on his first full series, starring alongside Coleman who returns as assistant Clara.