Giegerich is a German surname. Notable people with the name include:
Ann-Cathrin Giegerich (born 1992), German handball player
Jill Giegerich (born 1952), American visual artist
Heinz Giegerich, German-born Scottish linguist and professor
Karin Giegerich (born 1963), German actress
Thomas Giegerich (born 1959), German jurist
Wolfgang Giegerich (born 1942), German psychologist