Ziemba is a Polish surname. Notable people with the surname include:
Ed Ziemba
Elaine Ziemba, Canadian female politician in Ontario
Karen Ziemba (born 1957), American actress, singer and dancer
Lee Ziemba (born 1989), American football offensive tackle
Menachem Ziemba (Hebrew: מנחם זמבה; 1883 - 1943), Polish pre–World War II rabbi
Wojciech Ziemba Polish Archbishop (2000 - 2006)