Alexi Kaye Campbell was born in Athens, Greece in 1966 to a Greek father and a British mother, spending his childhood in Greece before moving to the United States as a young man.
He graduated from Boston University in English and American Studies, and then spent a year in New York City, working as a waiter and taking acting lessons while performing unpaid for an off-Broadway stage group.
Campbell then moved to London and graduated from the Webber Douglas Academy of Dramatic Arts, becoming a jobbing actor for the next fifteen years, with notable performances at the Royal Shakespeare Company, the Royal Court, and the Shared Experience Theatre Group, as well as television work, including appearances in "Keys to the Car" (1999) and "Murder in Mesopotamia" (2001).
In 2008, Campbell's play "The Pride" premiered at the Royal Court Theatre in London, directed by Jamie Lloyd, and was met with critical acclaim, earning a Laurence Olivier Award, before transferring to Broadway in 2010, directed by Joe Mantello.
His next play, "Apologia", was warmly received at The Bush Theatre in 2009, and went on to be produced at the MTC Theatre in Melbourne, Australia, and the Bungakuza Theatre Company in Japan.
Campbell's subsequent plays include "The Faith Machine", which premiered at the Royal Court Theatre in 2011, and "Bracken Moor", which premiered at the Tricycle Theatre in 2013.
His most recent notable play, "Sunset at the Villa Thalia", premiered at the National Theatre of Great Britain in 2016, directed by Simon Godwin, and featured a star-studded cast, including Ben Miles, Elizabeth McGovern, and Pippa Nixon.
Throughout his career, Campbell has been open about his "not very theatre-y" personal life, having lived with his partner, director Dominic Cooke, in London since 1997.