Joseph Rajappa (3 November 1918 - 27 December 1989) was a Priest of the Roman Catholic Church in India. He was the first Bishop in Roman Catholic Diocese of Kurnool (1967-1988) and in Roman Catholic Diocese of Khammam (1988-1989). He hailed from Anekal in erstwhile Mysore state.
He underwent spiritual formation St. Peter's Pontifical Seminary, Bangalore.