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|Centuries:||17th century – 18th century – 19th century|
|Decades:||1690s 1700s 1710s – 1720s – 1730s 1740s 1750s|
|Years:||1717 1718 1719 – 1720 – 1721 1722 1723|
|1720 by topic:|
|Arts and Sciences|
|Archaeology – Architecture – Art – Literature (Poetry) – Music – Science|
|Canada – Great Britain –|
|Lists of leaders|
|Colonial governors – State leaders|
|Birth and death categories|
|Births – Deaths|
|Establishments and disestablishments categories|
|Establishments – Disestablishments|
|Ab urbe condita||2473|
|British Regnal year||6 Geo. 1 – 7 Geo. 1|
— to —庚子年十二月初三日
|- Vikram Samvat||1776–1777|
|- Shaka Samvat||1642–1643|
|- Kali Yuga||4821–4822|
|- Ǹrí Ìgbò||720–721|
|Japanese calendar||Kyōhō 5
|Juche calendar||N/A (before 1912)|
|Julian calendar||Gregorian minus 11 days|
|Minguo calendar||192 before ROC
|Thai solar calendar||2263|
|Wikimedia Commons has media related to: 1720|
- February 11 – Sweden and Prussia sign the Treaty of Stockholm (Great Northern War).
- February 17 – Spain signs the Treaty of The Hague, ending the War of the Quadruple Alliance.
- February 29 – Queen Ulrika Eleonora of Sweden resigns to let her husband Frederick I take over as king of Sweden. She had desired a joint rule, in a similar manner as William and Mary in the British Isles, but as the Swedish Riksdag of the Estates refuses this, she abdicates in her husbands favour instead.
- March 24 – The Riksdag of the Estates elects Frederick I new King of Sweden.
- July 12 – The Lords Justice of the UK attempt to curb some of the excesses of the stock markets during the South Sea bubble. They dissolved a number of petitions for patents and charters, and abolished more than 80 joint-stock companies of dubious merit. According to Charles MacKay, this had little effect on the creation of "Bubbles", ephemeral joint-stock companies created during the hysteria of the times.
- September – South Sea Bubble: The English stock market crashes with dropping prices for stock in the South Sea Company, an English company granted a monopoly to trade with South America.
- November 16 – Pirate Jack Rackham is brought to trial at St. Jago de la Vega in Jamaica.
Date unknown 
- The Town on Queen Anne's Creek, North Carolina is renamed Edenton in honor of North Carolina Governor Charles Eden. It is later incorporated in 1722.
- The Tuscarora flee North Carolina as a result of European colonization.
- Edmond Halley is appointed as Astronomer Royal.
- The Academia Real da Historia is founded in Lisbon, Portugal.
- Jonathan Swift begins Gulliver's Travels.
- Emperor Kangxi announces that all western businessmen can only trade in Guangzhou.
- Il teatro alla moda, a satirical pamphlet by Benedetto Marcello, is published anonymously in Venice.
- The first yacht club in the world, the Royal Cork Yacht Club, is founded.
- January 4 – Johann Friedrich Agricola, German composer (d. 1774)
- January 13 – Richard Hurd, English bishop and writer (d. 1808)
- January 27 – Samuel Foote, English dramatist and actor (d. 1777)
- January 30 – Charles De Geer, Swedish industrialist and entomologist (d. 1778)
- February 8 – Emperor Sakuramachi of Japan (d. 1750)
- March 9 – Philip Yorke, 2nd Earl of Hardwicke, English politician (d. 1790)
- March 13 – Charles Bonnet, Swiss naturalist and writer (d. 1793)
- March 22 – Nicolas-Henri Jardin, French architect (d. 1799)
- April 23 – Vilna Gaon, Lithuanian rabbi (d. 1797)
- May 11 – Karl Friedrich Hieronymus Freiherr von Münchhausen, German officer and adventurer (d. 1797)
- May 15 – Maximilian Hell, Slovakian astronomer (d. 1792)
- July 18 – Gilbert White, English naturalist and cleric (d. 1793)
- August 8 – Carl Fredrik Pechlin, Swedish politician (d. 1796)
- August 12 – Konrad Ekhof, German actor (d. 1778)
- August 18 – Laurence Shirley, 4th Earl Ferrers, English murderer (d. 1760)
- August 30 – Samuel Whitbread, English brewer and politician (d. 1796)
- October 3 – Johann Peter Uz, German poet (d. 1796)
- October 4 – Giovanni Battista Piranesi, Italian artist (d. 1778)
- October 8 – Jonathan Mayhew, American minister and patriot (d. 1766)
- October 19 – John Woolman, American Quaker preacher and abolitionist (d. 1772)
- November 1 – Toussaint-Guillaume Picquet de la Motte, French admiral (d. 1791)
- November 16 – Carlo Antonio Campioni, French-born composer (d. 1788)
- December 14 – Justus Möser, German statesman (d. 1794)
- December 24 – Anna Maria Mozart (the last name before Pertl), is the Mother of Wolfgang Amadeus Mozart, Maria Anna Mozart (Nannerl), and she is the wife of Leopold Mozart.
- December 26 – Gian Francesco Albani, Italian Catholic cardinal (d. 1803)
- December 31 – Charles Edward Stuart, pretender to the British throne (d. 1788)
- January – Francis Daniel Pastorius, founder of Germantown, Pennsylvania (b. 1651)
- January 10 – Ramon Perellos, 64th Grandmaster of the Knights Hospitaller (b. 1637)
- January 31 – Thomas Grey, 2nd Earl of Stamford, English privy councilor (b. c. 1645)
- February 27 – Samuel Parris, English-born Puritan minister (b. 1653)
- April 2 – Joseph Dudley, colonial Governor of Massachusetts (b. 1647)
- April 21 – Antoine Hamilton, French writer (b. 1646)
- June 27 – Guillaume Amfrye de Chaulieu, French poet (b. 1639)
- August 3
- August 9 – Simon Ockley, English orientalist (b. 1678)
- August 17 – Anne Lefèvre, French scholar (b. 1654)
- September 3 – Henri de Massue, Marquis de Ruvigny, 1st Viscount Galway, French soldier and diplomat (b. 1648)
- October 10 – Antoine Coysevox, French sculptor (b. 1640)
- November 17 – John Rackham, English pirate, also known as Calico Jack
- November 20 – Peder Tordenskjold, Norwegian naval hero (b. 1691)
- date unknown – Shahzada Assadullah Khan Abdali, Persian Governor of Herat (b. 1687)
- Charles Mackay, Extraordinary Popular Delusions and the Madness of Crowds (Harriman House Classics 2003)