This is a list of fellows of the Royal Society elected in 1724.^[1]

• John Byrom (1692–1763), philosopher and poet, inventor of a shorthand ^[2]
• Stephen Chase, gentleman ^[3]
• Nicolaus Cruquius (1678–1754), Dutch surveyor ^[4]
• Joseph Danvers (1686–1753), MP ^[5]
• Joannes Jacobus Dillenius (1684–1747), physician and botanist ^[6]
• John Diodate (1690–1727) ^[7]
• John Dobyns (died 1731), surgeon ^[8]
• John Eames (1686–1744), dissenting tutor ^[9]
• Anthony Ellys (1690–1751), Bishop of St Davids^[10]
• Daniel Gabriel Fahrenheit (1686–1736), Dutch-German-Polish physicist, engineer and glass blower^[11]
• Joannes Adolphus Jacobaeus (1698–1772), Danish Professor of Medicine ^[12]
• John Kendall (died 1735), barrister ^[13]
• Ralph Leicester (c.1699–1777) ^[14]
• Charles Lennox, 2nd Duke of Richmond, Lennox and Aubigny (1701–1750) ^[15]
• Smart Lethieullier (1701–1760), antiquary ^[16]
• Joseph-Nicolas de Lisle (1688–1768), French astronomer and cartographer ^[17]
• John Meres (died 1726), apothecary. Clerk to Society of Apothecaries^[18]
• Robert Ord (1700–1778), MP. Chief Baron of the Scottish Exchequer^[19]
• Littleton Powys (1647?– 1732), barrister. Justice of the King's Bench^[20]
• John Ranby (1703–1773), surgeon ^[21]
• John Gaspar Scheuchzer (1702–1729), Swiss naturalist, physician and writer ^[22]
• Francis Scott, 2nd Duke of Buccleuch (1695–1751) ^[23]
• Edward Vernon (c. 1695–1761), clergyman and antiquarian ^[24]