Robert Phelps (disambiguation)

Robert Phelps (1926–2013) was an American mathematician

Robert Phelps may also refer to:
 * Robert Phelps (academic) (1808–1890), British academic
 * Robert Phelps (wrestler) (1890–?), British wrestler
 * Robert Phelps (pentathlete) (born 1939), British modern pentathlete
 * Robert Phelps (pole vaulter), winner of the 1944 and 1945 NCAA DI outdoor pole vault championships