Robert or Robbie Glover may refer to:

Robert Glover (martyr) (died 1555), English Protestant martyr burnt to death for heresy

Robert Glover (officer of arms) (1544–1588), Somerset herald in the reign of Elizabeth I

Robert Glover (pirate) (died 1698), pirate captain active in the Red Sea

Robert E. Glover (1896–1984), American engineer

Robert W. Glover (1866–1956), Baptist pastor and politician in Arkansas

Robert Mark Glover, founder and executive director of the UK children's charity Care for Children

Robert Mortimer Glover (1815–1859), British physician

Robbie Glover (singer), UK singer/songwriter

Robbie Glover, character in Dirk Gently, played by Tony Pitts