|Covid-19|January 9 – Afghans defeat Marathas in Battle of Barari Ghat.
January 22 – Seven Years' War – At the Battle of Wandiwash in India, British general Sir Eyre Coote is victorious over the French under the Marquis de Bussy-Castelnau.
January 28 – Benning Wentworth creates the New Hampshire Grant of Pownal, Vermont.
February 15 – The British Royal Navy ship HMS Royal Katherine runs aground off Bolt Head in England with the loss of 699 lives.
February 21–26 – Seven Years' War – At the Battle of Carrickfergus in the north of Ireland, a force of French troops under the command of privateer François Thurot captures and holds the town and castle of Carrickfergus before retiring; the force is defeated (and Thurot killed) in a naval action in the Irish Sea on February 28.
February 27 – Seven Years' War – French and Indian War & Anglo-Cherokee War: Cherokee natives attack a North Carolina militia stationed at Fort Dobbs in the western part of the province. The attack is repelled by the militia under the command of General Hugh Waddell.
March 20 – The Great Fire of Boston, Massachusetts, destroys 349 buildings.
May–July – 'Tacky's War', a slave rebellion, occurs in Jamaica.
June 4 – Expulsion of the Acadians: New England planters arrive to claim land in Nova Scotia taken from the Acadians.
July 3 – A lightning strike causes a major fire at Portsmouth Royal Dockyard in England.
July 8 – Seven Years' War – French and Indian War: Battle of Restigouche: British defeat French forces in the last naval battle in New France.
July 19 – A formal request is made to the Spanish government as to allow the founding of the later city of Mayagüez, Puerto Rico.
July 31 – Seven Years' War – Battle of Warburg: The Anglo-Hanoverian army of Ferdinand of Brunswick storms Warburg, with a heroic role being played by the English commander Lord Granby.
August 21 – The church (later cathedral) of Our Lady of Candlemas of Mayagüez (Puerto Rico) is founded, establishing the basis for the founding of the city.
August 30 – Seven Years' War – Battle of Legnica: By a series of brilliant maneuvers, Frederick the Great manages to defeat the Austrian army of Marshal Laudon before it can unite with that of Marshal Daun.
September 8 – Seven Years' War: Jeffery Amherst captures Montreal.
September 18 – The town (later city) of Mayagüez, Puerto Rico, is founded.
October 5 The wedding of Princess Isabella of Parma and Joseph II, Holy Roman Emperor, at Hofburg Palace's Redoute Hall - (Redoutensaele) at the former imperial palace in Vienna.
October 9 – Seven Years' War: Russian troops enter Berlin.
October 16 – Seven Years' War – Battle of Kloster-Kamp: Ferdinand of Brunswick is beaten back from the Rhine by a French army.
October 25 – George II of Great Britain dies; his grandson George III ascends to the throne. He reigns until January 1820.
November 3 – Seven Years' War – Battle of Torgau: In another extremely hard battle, Frederick defeats Daun's Austrians, who withdraw across the Elbe.
Dr. James Fordyce's two-volume compendium, Sermons for Young Women, is published.
Western countries pay 3,000,000 ounces of silver for Chinese goods.
approximate date – Abu Dhabi is founded.
January 11 – Oliver Wolcott Jr., American lawyer and politician, 2nd United States Secretary of the Treasury, 24th Governor of Connecticut (d. 1833)
Zofia Potocka, Greek-Polish noble and agent (d. 1822)
February 3 – John Storm, American Revolutionary soldier (d. 1835)
March 1 – François Nicolas Leonard Buzot, French Revolutionary leader (suicide 1794)
March 10 – Leandro Fernández de Moratín, Spanish dramatist, translator and neoclassical poet (d. 1828)
March 28 – Thomas Clarkson, English Abolitionist (d. 1846)
April 16 – Sigismund Friedrich Hermbstädt, German pharmacist and chemist (d. 1833)
April 30 – Joseph Souham, French general (d. 1837)
May 10 – Johann Peter Hebel, German poet (d. 1826)
May 28 – Alexandre, Vicomte de Beauharnais, French politician and general (d. 1794)
May 29 – Charlotte Slottsberg, Swedish ballerina (d. 1800)
June 12 – Jean-Baptiste Louvet de Couvrai, French novelist, playwright, journalist, politician and diplomat (d. 1797)
June 16 – Louise Contat, French actress (d. 1813)
June 16 - Stuart Peebles, Scottish Raconteur
July 13 – István Pauli (Pável), Hungarian Slovene priest and writer (d. 1829)
August 3 – Jacques Réattu, French artist 9d. (1833)
August 22 – Pope Leo XII, born Annibale Francesco Clemente Melchiore Girolamo Nicola Sermattei della Genga, Italian priest (d. 1829)
September 14 – Luigi Cherubini, Italian composer (d. 1842)
September 21 – Olof Swartz, Swedish botanist (d. 1818)
September 30 – Michele Cachia, Maltese architect and military engineer (d. 1839)
October 7 (bapt.) – Fredrica Löf, Swedish actress (d. 1813)
October 17 – Claude Henri de Rouvroy, comte de Saint-Simon, French economist and political theorist (d. 1825)
October 27 – August von Gneisenau, Prussian field marshal (d. 1831)
October 31? – Hokusai, born Katsushika Tokitarō, Japanese Edo period artist, ukiyo-e painter and printmaker (died 1849)
November 13 – Jiaqing Emperor, Chinese emperor (d. 1820)
November 21 – Joseph Plumb Martin, American Revolutionary soldier and narrative author (d. 1860)
November 28 – Maria Teresa Poniatowska, Polish noblewoman (d. 1834)
December 17 – Deborah Sampson, first American female soldier (d. 1827)
date unknown – Adam Gillies, Lord Gillies, Scottish judge (d. 1842)
Moscho Tzavela, Greek-Souliote heroine (d. 1803)
Clelia Durazzo Grimaldi, Italian botanist (d. 1830)
probable date – Lemuel Francis Abbott, English portrait painter (d. 1802)
April 10 – Jean Lebeuf, French historian (b. 1687)
May 5 – Laurence Shirley, 4th Earl Ferrers, English murderer (hanged) (b. 1720)
May 9 – Nicolaus Ludwig Zinzendorf, German religious and social reformer (b. 1700)
May 10 – Christoph Graupner, German composer (b. 1683)
May 15 – Alaungpaya, King of Burma (b. 1711)
May 22 – Israel ben Eliezer aka Baal Shem Tov, Polish-born mystical rabbi, founder of Hasidic Judaism (b. 1698)
June 13 – Antoine Court, French Huguenot minister (b. 1696)
July 13 – Conrad Weiser, Pennsylvania's ambassador to the Iroquois Confederacy (b. 1696)
September 11 – Louis Godin, French astronomer (b. 1704)
October 15 – Nicolas d'Assas, a captain of the French regiment of Auvergne (b. 1733)
October 25 – King George II of Great Britain (b. 1683)
1760 (MDCCLX) was a leap year starting on Tuesday (dominical letter FE) of the Gregorian calendar and a leap year starting on Saturday (dominical letter BA) of the Julian calendar, the 1760th year of the Common Era (CE) and Anno Domini (AD) designations, the 760th year of the 2nd millennium, the 60th year of the 18th century, and the 1st year of the 1760s decade. As of the start of 1760, the Gregorian calendar was 11 days ahead of the Julian calendar, which remained in localized use until 1923.