Kirchhoff, Kirchoff or Kirchhoffer is a German surname. Notable people with the surname include:
Adolf Kirchhoff (1826–1908), German classical scholar and epigrapher
Alfred Kirchhoff (1838–1907), German geographer and naturalist
Alphonse Kirchhoffer (1873–1913), French Olympic fencer
Charles William Henry Kirchhoff (1853-1916), American editor and metals expert
Detlef Kirchhoff (1967–), German rower
Fritz Kirchhoff (1901–1953), German screenwriter, film producer and director
Gustav Kirchhoff (1824–1887), German physicist — Kirchhoff's laws in electricity, spectroscopy, thermochemistry.
Gottlieb Kirchhoff (1764–1833), German chemist (died in Saint Petersburg)
Jan Kirchhoff (1990–), German footballer, currently playing for KFC Uerdingen 05
Mary Kirchoff (born 1959), American fantasy novelist
Paul Kirchhoff (1900–1972), German anthropologist and ethnologist of pre-Columbian Mesoamerican cultures
Robert Kirchhoff (born 1962), Slovak film director
Ulrich Kirchhoff (1967–), German show jumping champion