Zsiga is both a given name and a surname. Notable people with the name include:
Zsiga Pankotia (1930–1961), Hungarian-born British murderer Abigail Zsiga, English singer better known as Abigail Elizabeth Zsiga (born 1964), American linguist Ervin Zsiga (born 1991), Romanian footballer Marcell Zsiga (born 1979), Hungarian jurist