Charles John Klyberg (29 July 1931 – 17 January 2020) was a British Roman Catholic priest and former Anglican bishop. From 1985 to 1996, he was the Bishop of Fulham in the Church of England. He studied at Lincoln Theological College, a Church of England theological college.
In 1994, the gay rights campaign group OutRage! named Klyberg as one of ten closeted homosexual bishops in the Church of England.
In 1996, after retiring from Anglican ministry, Klyberg was received into the Roman Catholic Church. He later became a priest. He was made a Prelate of Honour by Pope John Paul II.
Klyberg died on 17 January 2020 in London at the age of 88.