At the Tabard Theatre his production of The Country by Martin Crimp was well received, and in 2008 he became part of the Royal Court International Residency. At the Almeida Theatre in 2009 he directed All The Little Things We Crushed by Joel Horwood, followed by a critically acclaimed national tour of The Winter's Tale for Schtanhaus and Nuffield Theatre Southampton, in association with Headlong.
In 2009 Simon became associate director of the Royal Court. While there Simon directed seven world premieres, including Routes, If You Don't Let Us Dream, We Won't Let You Sleep, NSFW, The Witness, Goodbye to All That, The Acid Test, and Wanderlust, for which he was longlisted for Evening Standard Awards Best Newcomer in 2010.[6]
Godwin subsequently joined Bristol Old Vic as associate director, directing productions of Far Away (Caryl Churchill) and Faith Healer (Brian Friel). The latter was subsequently remounted in 2012 as part of the Hong Kong Arts Festival.[7]
In 2012 Simon was awarded the inaugural Evening Standard/Burberry Award for an Emerging Director.[8]
In 2013 Simon made his debut at the National Theatre with Strange Interlude with Anne Marie Duff followed by Man andSuperman with Ralph Fiennes. When Rufus Norris became the new artistic director of the National Theatre in 2015, he invited Simon to become part of his team of permanent Associates.[9]
In September 2018, Simon was appointed artistic director of the Shakespeare Theatre Company Washington D.C. effective 1 August 2019.[15][16] He made his directorial debut with the company in February 2020 with a remounted production of Timon of Athens with Kathryn Hunter reprising her role.[17]
In August 2019, he directed Hansard in the Lyttelton Theatre at the National Theatre.[18]Hansard was the debut play by writer Simon Woods[19] and was broadcast in October 2019 by National Theatre Live.[20]
In August 2020, he directed Romeo and Juliet at the National Theatre, with Josh O'Connor and Jessie Buckley playing the title roles.[21] The performance was adapted for filming in 2021—the National Theatre's first such venture.[22]
In July 2022, his production for the National Theatre of 'Much Ado About Nothing' opened in the Lyttelton Theatre starring Katherine Parkinson and John Heffernan.[citation needed]