Frank Theodore Woods (15 January 1874 – 27 February 1932) was Bishop of Peterborough from 1916 to 1923 before being translated to the see of Winchester, where he remained until his death.
His brother Edward was Bishop of Lichfield 1937-1953. Edward's son was Frank Woods who, after being Bishop of Middleton, became Archbishop of Melbourne.
While Bishop of Peterborough, Woods served as Episcopal Secretary for the 1920 Lambeth Conference.
As Bishop of Winchester, Woods was Prelate of the Most Noble Order of the Garter.