Normann is a surname. Notable people with the surname include:
Adelsteen Normann (1848–1918), Norwegian painterAxel Otto Normann (1884–1962), Norwegian journalist, newspaper editor, theatre critic and theatre directorEmil Normann (1798–1881), Danish painter and naval officerJeppe Normann (born 1951), Norwegian fencerKristin Normann (born 1954), Norwegian judge and legal scholarRichard Normann (1943–2003), Swedish management consultantRunar Normann (born 1978), Norwegian footballerSigurd Johan Normann (1879–1939), Norwegian theologian and Lutheran bishopWilhelm Normann (1870–1939), German chemist