Camargo's New York theater work includes the Public Theater's Kit Marlowe, Steve Martin's Underpants at Classic Stage Company, and the title role of Theater For A New Audience's Coriolanus.
In 2008, Camargo played opposite Dianne Wiest, John Lithgow and Katie Holmes in Arthur Miller's All My Sons on Broadway.
In early 2009, he played the title role in the Theatre for a New Audience's production of Hamlet. He won an Obie and Drama League nomination for his performance. The show ran until 12 April 2009.
Camargo portrayed Orlando in The Bridge Project's presentation of Shakespeare's As You Like It in Brooklyn, New York. In February 2010, he played Ariel in the company's rendition of Shakespeare's The Tempest.
Carmargo also played Michael Corrigan in the Netflix drama House of Cards. On 30 September 2010, he was cast as Eleazar in The Twilight Saga: Breaking Dawn, Parts 1 and 2.
Camargo wrote and directed Days and Nights, a modern retelling of Anton Chekhov's The Seagull, produced by his wife, actress Juliet Rylance, together with Barbara Romer, founder of the New Globe Theater. The film was scheduled for a 2014 release.
He portrayed Mercutio in the 2013 Broadway revival of Romeo and Juliet, directed by David Leveaux.
He guest starred as Wade Crocker on the third season of Syfy's Haven.
Camargo portrayed the title character of the Theatre for a New Audience off-Broadway production of Pericles, directed by Trevor Nunn, from February to April 2016.
In May of 2016, he guest starred as Dracula on the third season of Showtime's Penny Dreadful.
In March and April of 2017, Camargo portrayed a mid-career Robert Evans in Simon McBurney's stage adaptation of The Kid Stays in the Picture, staged in London's Royal Court Theatre.
Camargo was born Christian Minnick in New York City, the son of actress Victoria Wyndham and grandson of actor Ralph Camargo. He is a 1992 graduate of Hobart College. He was the program director of WEOS, the college's public radio station.
Camargo is a graduate of the Juilliard School, where he was a member of the Drama Division.
He went on to perform in the 1996 Broadway production of David Hare's Skylight with Michael Gambon (Theater World Award). From there, Camargo went to England to join the inaugural company of Shakespeare's Globe Theatre on the Southbank.
Camargo's grandfather, Ralph Camargo, was a Mexican-American actor who talked his daughters into changing their names to something Anglicized because he felt he had lost roles due to being Latino. Camargo decided to change his name back from Minnick because of pride in his Mexican-American heritage and a desire to bring back a name that he felt was connected to his profession.
In November 2008, Camargo married British actress Juliet Rylance.