Dom José da Costa Nunes (Chinese: 高若瑟, 15 March 1880 – 29 November 1976) was a Portuguese cardinal of the Roman Catholic Church who served as Bishop of Macau from 1920 to 1940 and Patriarch of the East Indies from 1940 to 1953.

After studying at the seminary in Angra, Nunes went to Macau as a missionary on 4 June 1903, and was ordained to the priesthood on the following 26 July.

Nunes was advanced to the Archdiocese of Goa e Damão, with title of Patriarch of the East Indies, on 11 December 1940.

Nunes attended the Second Vatican Council from 1962 to 1965 and he was one of the cardinal electors who participated in the 1963 papal conclave that selected Pope Paul VI.

He served as the papal legate to the fourth centennial celebration of the arrival of the first Catholic missionaries to Macau on 10 November 1965.