This is a list of fellows of the Royal Society elected in its fifth year, 1664.^[1]

Fellows

• Sir Robert Atkyns (1647–1711)
• Nicholas Bagenall (1629–1712)
• Charles Boyle (1639–1694)
• Gilbert Burnett (1643–1715)
• James Carkesse (1657–1675)
• Sir Winston Churchill (1620–1688)
• John Cutler (1608–1693)
• Joseph Glanvill (1636–1680)
• Sir William Godolphin (1635–1696)
• John Hay (1626–1697)
• John Hervey (1616–1680)
• Johannes Hevelius (1611–1687)
• James Hoare (1620–1696)
• Sir John Lowther (1642–1706)
• Henry More (1614–1687)
• Thomas Neale (1641–1699)
• John Newburgh (1630–1692)
• Sir William Portman (1643–1690)
• Thomas Rolt (1641–1672)
• Sir Nicholas Slanning, 1st Baronet (1643–1691)
• Edward Smith (fl. 1664–1668)
• Thomas Thynne (1640–1714)
• Isaacus Vossius (1618–1689)
• Roger Williams (d. 1665)
• Samuel Woodford (1636–1700)