After working briefly in his father's oil company, Curzon went on the stage, touring with Frank Benson's company. He made his London debut at the age of 24 in a play called "Queer Street", at Terry's Theatre. In 1899, he and Charles Hawtrey leased the Avenue Theatre, where they had a series of successes. After this, Curzon concentrated on his managerial career, though he made a brief return to acting in 1923 in "The Inevitable", a play written by and starring his wife, Isabel Jay.