Producers Grant Hill and Stefan Arndt said Tuesday that Grant would appear alongside previously announced stars Halle Berry, Tom Hanks and Susan Sarandon.
The movie is based on David Mitchell's 2004 novel charting the progress of a single soul over many years and several continents, from the 19th century South Pacific to a post-apocalyptic future.
It has three directors -- "Matrix" trilogy creators the Wachowski Brothers and "Run Lola Run" director Tom Tykwer.
The cast also includes British actors Ben Whishaw, Jim Broadbent and Jim Sturgess, China's Zhou Xun and Korean actress Doona Bae.
Filming will take place in Scotland, Spain and Germany.