Notable people having this surname include:
- Alvito D'Cunha, Indian footballer of Goan ethnicity.
- Antonius Kelly Da Cunha, GM Programming of antv Indonesia
- Diego Ribas da Cunha, Brazilian international footballer
- Domingos da Cunha, the Cabrinha, Portuguese Jesuit painter, early 17th century.
- Eduardo Cunha, former president of the Brazilian Chamber of Deputies 2015-2016 and removed from office for lying about his Swiss bank accounts
- Euclides da Cunha, Brazilian journalist, sociologist and engineer.
- José Gerson da Cunha (1844–1903); Indo-Portuguese physician, orientalist, historian and numismatist.
- Marco Aurélio Cunha dos Santos, better known as Marco Aurélio, (born 1967), Brazilian footballer.
- Maria do Carmo "Carmen Miranda" da Cunha (1909–1955), singer, actress, world citizen.
- Nani, real name Luis Cunha, Portuguese international footballer.
- Nuno da Cunha, governor of Portuguese possessions in India from 1528 to 1538.
- Osvaldo Rodrigues da Cunha, Brazilian herpetologist.
- Samuel Lopes da Cunha (1984) Brazilian footballer
- Thiago Cunha, Brazilian–born East Timorese naturalisation footballer
- Tristão da Cunha (1460–1540); Portuguese explorer and naval commander
- Tristão de Bragança Cunha (1878–1938); Indian nationalist and anti-colonial activist from Goa
- Genea - Origin of the Cunha family. (in Portuguese)
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