Robert Gibson may refer to:
Government and politics Robert Gibson, Lord Gibson (1886–1965), British Labour Party politician, MP Robert Gibson (Ontario politician) (1932–1966), Canadian politician Rob Gibson (born 1945), Scottish SNP politician Robert Murray Gibson (1869–1949), U.S. federal judge and baseball player
Religion Robert Atkinson Gibson (1846–1919), American bishop Robert W. Gibson (1854–1927), English-American ecclesiastical architect active in New York City Robert F. Gibson Jr. (1906–1990), bishop of Virginia in the Episcopal Church
Sports Robert Gibson (wrestler) (born 1958), American wrestler Robert Gibson (rower) (born 1986), Canadian rower Robert Gibson (cricketer, born 1801) (1801–1???), English cricketer Robert Gibson (cricketer, born 1821) (1821–1875), English cricketer Robert Gibson (cricketer, born 1994), English cricketer Robert Murray Gibson (1869–1949), U.S. federal judge and baseball player
Others Robert Gibson (businessman) (1863–1934), Australian businessman Robert L. Gibson (born 1946), American naval captain and NASA astronaut Robert Gibson (engineer) (1928–2008), British geotechnical engineer
See also Bob Gibson (disambiguation)