Viegas is a surname. Notable people with the surname include:
Acacio Gabriel Viegas (1856–1933), Indian physicianBrás Viegas (1553–1599), Portuguese JesuitFabiano Cezar Viegas (born 1975), Brazilian footballerFernanda Viégas, Brazilian information scientistFrederico Viegas (born 1974), Portuguese racing driverManuela Viegas (born 1957), Portuguese film director and editorJoão Viegas Carrascalão (1945–2012), East Timorese politicianJoelma Viegas (born 1986), Angolan handball playerJosé Viegas Filho (born 1942), Brazilian diplomatRicardo Viegas (born 1992), Portuguese footballer