In 2016, Cranham won the Olivier Award for Best Actor in a Play for his role as Andre in Florian Zeller's The Father. The play originated at the Theatre Royal Bath's Ustinov Studio in the autumn of 2014, before touring the country and transferring to the West End in the summer of 2015, returning to the Duke of York's Theatre in spring 2016. The play received an unprecedented five star review from every leading national press publication. Cranham's performance was described as "the performance of his life".
