Holbech is a Germanic name, meaning "the low brook" or "the brook in the ravine or hollow". Notable people with the surname include:
Holbech family, owners of Farnborough Hall
Charles Holbech, Archdeacon of Coventry from 1873 to 1887
David Holbache or Holbech (c. 1355–1422/23), Welsh Member of Parliament, founder of Oswestry School Niels Peter Holbech, Danish portrait painter Thomas Holbech, Vice-Chancellor of Cambridge University in 1677, Master of Emmanuel College from 1676 to 1680 William Holbech (bishop) (1850–1930), Bishop of St Helena, earlier Archdeacon of Kimberley and Dean of Bloemfontein William Holbech (cricketer) (1882–1914), English cricketer, killed in the First World War William Holbech (MP for Banbury) (1748–1812), English Member of Parliament for Banbury