Robert Smith or Bob Smith is a common name. People with this name include:

• Robert Smith, (born 1959), a musician in the popular music group The Cure
• Robert Smith, a governor of the BBC
• Bob Smith, (1879-1950), the founder of Alcoholics Anonymous
• Bob Smith , a boxer
• Robert Smith , a reporter for NPR in the United States
• Robert Smith , a United States music producer
• Robert Paul Smith, (1915-1977), an American writer
• Robert Smith, (1689-1768), an English mathematician
• Buffalo Bob Smith (real name Bob Smith), (1917-1998), host of Howdy Doody
• Bob Smith (horse trainer)
• Robert W. Smith , (born 1958), a composer
• Robert Smith (football), an American football running back for the Minnesota Vikings
• Robert Smith (architect) , an American architect who designed Nassau Hall in Princeton, New Jersey and Carpenter's Hall in Philadelphia, Pennsylvania

Politicians:

• Robert Smith , a politician from Canada
• Sir Robert Smith, 3rd Baronet, (born 1957), a politician from Scotland
• Robert Smith, (1757-1842), the 6th Secretary of State in the United States
• Robert Smith , (1802-1867), a United States Illinois representative in the 1840s
• Robert C. Smith (Bob Smith), (born 1941), a Republican former United States senator from New Hampshire
• Bob Smith, a New Jersey State Senator