Marsh has performed at venues throughout the UK including the Oxford Playhouse and Regent's Park Open Air Theatre.
In 2016, he appeared in the National Theatre of Scotland's production I Am Thomas[1] as Sir James Stewart.
In 2017 Marsh played Tristan in Kneehigh Theatre's acclaimed production of Tristan & Yseult at Shakespeare's Globe which also played St. Ann's Warehouse in New York and other venues in the USA and UK on two separate tours.
He also starred as Jean-René in the new musical Romantics Anonymous based on the film of the same name at the Sam Wanamaker Playhouse, Emma Rice's outgoing production as artistic director of Shakespeare's Globe.
Dominic's television appearances have included Doctors (playing semi-regular patient Smithy), DCI Banks, Coronation Street, and The Royals.