Robert Drury may refer to:

Politicians Robert Drury (speaker) (died 1536), Speaker of the House of Commons Robert Drury (died 1557), MP for Thetford Robert Drury (1525-93), in 1558 Member of Parliament (MP) for Buckingham and Chipping Wycombe Sir Robert Drury (17th century MP) (1575–1616), English MP for Suffolk and Eye Robert Drury (died 1577) (c. 1503–1577), English MP for Buckinghamshire

Others Robert Drury (priest) (1567–1607), English Roman Catholic priest, executed for treason Robert Drury (Jesuit) (1587–1623), English Jesuit Robert Drury (sailor) (1687–?), English sailor on the Degrave who was shipwrecked at the age of 17 on the island of Madagascar Robert Drury (baseball) (1878–1933), minor league baseball player and manager Sir Robert Drury, 3rd Baronet of the Drury baronets