Hammerich is a surname. Notable people with the surname include:
Borghild Hammerich (1901–1978) Norwegian activist Bodil Hammerich (1877–1941), Danish American actress Carl Hammerich (1888–1945) Danish naval officer and admiral Else Hammerich (born 1936) Danish politician Golla Hammerich (1854–1903), Danish pianist Holger Hammerich (1845–1915), Danish engineer and politician Martin Hammerich (1811–1881) Danish art historian, educator, author and translator Paul Hammerich (1927–1992) Danish journalist and writer Rumle Hammerich (born 1954) Danish film director, screenwriter and film company director Asger Hammerich (born 1843) Danish composer, spelled Hamerik in USA, from 1871 in Baltimore