Crout is a surname. Notable people with the surname include:
Alfred Crout Harmer (1825–1900), American politician, a Republican member of the United States House of Representatives from Pennsylvania Henry Crout (fl. 1612–1617), English settler, explorer John Crout (1899–1987), American engineer Mabel Crout (1890–1984), British politician Prescott Durand Crout (1907–1984), American mathematician
See also Crout matrix decomposition, a matrix decomposition