Brinch is a surname. Notable people with the surname include:
Christian Brinch (1905–?), Norwegian civil servant Gregers Brinch (born 1964), Danish composer Jeppe Brinch (born 1995), Danish footballer Lorentz Brinch (1910–1953), Norwegian barrister, military officer, banker and politician Sigurd Christian Brinch (1874–1956), Norwegian manager and politician