Luman is both a surname and a given name. Notable people with the name include:
Surname:
Bob Luman (1937–1978), American country and rockabilly singer
Given name:
Luman Harris (1915–1996), American right-handed pitcher, coach, manager, and scout in Major League Baseball
Charles Luman Knapp (1847–1929), U.S. Representative from New York
Luman Reed (1787–1836), successful American merchant and an important patron of the arts
Luman Walter (1789–1860), known for his connection with the family of Joseph Smith, Jr., the founder of the Latter Day Saint movement
Luman Watson, early Cincinnati clockmaker
Luman Hamlin Weller (1833–1914), United States Greenback Party member