Veiga is a Galician and Portuguese surname. Notable people with the name include:

Alonso Pita da Veiga (died 1554), Spanish nobleman and military officer, famous for his deeds at the 1525 Battle of Pavia Amélia Veiga (born 1931), Portuguese-born Angolan poet and teacher António da Mota Veiga (1915–2005), Portuguese politician Argemiro Veiga (born 1972), Brazilian football player Bruno Veiga (born 1990), Brazilian football player Carlos Veiga (born 1949), second (and first democratically elected) Prime Minister of Cape Verde Danilo Veiga (born 2002), Portuguese football player Eric Veiga (born 1997), Luxembourgish football player Estácio da Veiga (1828–1891), Portuguese archeologist and write Evelise Veiga (born 1996), Portuguese athlete Francisco da Veiga Beirão (1841–1916), Portuguese politician Gabri Veiga (born 2002), Spanish football player Jennifer Veiga (born 1962), American attorney and politician José Veiga (disambiguation), multiple people Justino Veiga, São Tomé and Príncipean politician Lourenço da Veiga, Portugal-born professional race car driver Mafalda Veiga (born 1965), Portuguese singer-songwriter Manuel Veiga, multiple people Marcelo Veiga (1964–2020), Brazilian football player and manager Martin Veiga (born 1970), Galician academic, poet, translator and critic Nélson Veiga (born 1978), Cape Verdean football player Raphael Veiga (born 1995), Brazilian football player Renato Veiga (born 2003), Portuguese football player Susana Veiga (born 2000), Portuguese Paralympic swimmer Unai Veiga (born 1998), Spanish football player Uriel da Veiga (born 1940), Brazilian football player