Forchhammer is a surname. Notable people with the surname include:

August Friedrich Wilhelm Forchhammer (1797–1870), Danish jurist and writer Bjarne Forchhammer (1903–1970), Danish actor and theatre director Emanuel Forchhammer (1851–1890), Swiss indologist and professor Henni Forchhammer (1863–1955), Danish teacher and women's rights activist Holger Forchhammer (1866–1946), Danish physician and sportsman Johan Georg Forchhammer (1794–1865), Danish mineralogist and geologist Johannes Nicolai Georg Forchhammer (1827–1909), Danish philologist Johannes Georg Forchhammer (1861–1938), Danish physicist and educator Lukas Forchhammer (born 1988), Danish singer, songwriter, actor, and frontman of Lukas Graham Peter Wilhelm Forchhammer (1801–1894), German archaeologist Sigurd Forchhammer (1906–1981), Danish sculptor