Morgan was born in Armagh, Northern Ireland. He gained a National Diploma in Performing Arts at Belfast Institute of Further & Higher Education in 2004 and graduated from the prestigious Royal Scottish Academy of Music and Drama in 2007.
Morgan appeared on stage in 2007 as Esteban in the Old Vic stage adaptation of Pedro Almodóvar's Todo sobre mi madre and took the title role in the Young Vic's adaptation of DBC Pierre's Vernon God Little.
Morgan took minor roles in television programmes such as The Catherine Tate Show Christmas Special as John Leary along with companion actress Catherine Tate in 2007 and the Doctor Who episode Midnight as Jethro Cane in 2008.
Morgan's best-known part has been the title role in the BBC TV series Merlin, another BBC Wales production filling the Saturday evening family drama slot. Merlin aired five series between September 2008 and December 2012.
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