Heinicke is a surname. Notable people with this surname include:
Bettina Heinicke née Bettina Blumenberg (born 1962), German field hockey player
Erika Heinicke (born 1939), retired German speed skater
Herbert Heinicke (1905–1988), German chess master born in Brazil
Hermann Heinicke, full name August Moritz Hermann Heinicke (1863–1949), German-born violinist and music teacher in South Australia
Megan Heinicke, known as Megan Tandy (born 1988), a Canadian biathlete
Samuel Heinicke (1727–1790), German pioneer of education for the deaf
Taylor Heinicke (born 1993), American footballer with the Minnesota Vikings