The streak began in 1992, when he was recognized for his performance as actor William Macready in Richard Nelson's Two Shakespearean Actors. Two years later, he acted the title role in the National Actors Theatre's production of Shakespeare's Timon of Athens and was again noticed by the Tony nominators.
In 1995, he began his current run of productions with the Roundabout Theatre Company with The Moliere Comedies, an evening of two Moliere one-acts. The relationship continued in 1997 with Dion Boucicault's London Assurance. He won nods for both.
All five times, Bedford was nominated in the Leading Actor category.
The British-born actor won the Tony way back in 1971 for yet another Moliere work, The School for Wives.