Greengrass' recent films include Green Zone, Bourne Ultimatum, United 93 and Bourne Supremacy.
His latest film Maersk Alabama, starring Tom Hanks, will be released in 2012.
Greengrass first came to the attention of Hollywood in 2002 with Bloody Sunday.
Before that he spent ten years writing and directing for television. His credits include Omagh, The Murder of Stephen Lawrence, The Fix and The One That Got Away.
Greengrass began his career on Granada's World in Action series.