|Covid-19|February 12 – British colonist James Oglethorpe founds Savannah, Georgia.
March – Molasses Act passed by Parliament of Great Britain, which aided in the negative opinions of the British by American Colonists.
April – Royal Colony of North Carolina Commissioners John Watson, Joshua Grainger, Michael Higgins and James Wimble plan the town of New Carthage (which would eventually become Wilmington, North Carolina on the east side of the Cape Fear River).
May 1 – Canton system is first introduced in Prussia.
May 29 – The right of Canadians to keep Indian slaves is upheld at Quebec.
July 30 – The first Freemasons lodge opens in what will become the United States of America.
October 5 – The election of Augustus III to succeed his father as King of Poland sparks the War of the Polish Succession.
November 23 – 1733 slave insurrection on St. John begins: Slaves from Akwamu rebel against owners in the Danish West Indies.
January 3 (N.S.) – Richard Arkwright, English businessperson and inventor, invented the Water frame (d. 1792)
January 22 – Philip Carteret, British Naval Officer (d. 1796)
January 24 – Benjamin Lincoln, major general in the Continental Army during the American Revolutionary War, and politician (d. 1810)
March 13 – Joseph Priestley, English scientist and minister (d. 1804)
May 4 – Jean-Charles de Borda, French mathematician, physicist, political scientist, and sailor (d. 1799)
July 27 – Jeremiah Dixon, English surveyor and astronomer (d. 1779)
September 5 – Christoph Martin Wieland, German poet and writer (d. 1813)
September 18 – George Read, American lawyer and signer of the Declaration of Independence (d. 1798)
October 14 – François Sébastien Charles Joseph de Croix, Count of Clerfayt, Austrian field marshal (d. 1798)
October 15 – Lisa Eriksdotter, Finnish visionary.
November 16 – Siraj ud-Daulah, the last independent ruler of Bengal of undivided India (d. 1757)
November 20 – Philip Schuyler, general in the American Revolution, a United States Senator from New York, father of Angelica Schuyler Church and Elizabeth Schuyler Hamilton (d. 1804)
undated - Johanna Löfblad, Swedish actor and singer (d. 1811)
January 22 – Lovisa von Burghausen, Swedish memoirist (b. 1698)
January 25 – Gilbert Heathcote, Mayor of London (b. 1652)
January 27 – Thomas Woolston, English theologian (b. 1668)
February 1 – King Augustus II the Strong of Poland (b. 1670)
February 16 – Ulrika Eleonora Stålhammar, Swedish officer (b. 1683)
March 4 – Claude de Forbin, French naval commander (b. 1656)
April 19 – Elizabeth Hamilton, Countess of Orkney, mistress of William III of England (b. 1657)
May 10 – Barton Booth, English actor (b. 1681)
May 18 – Georg Böhm, German organist (b. 1661)
June 23 – Johann Jakob Scheuchzer, Swiss scholar (b. 1672)
July 12 – Anne-Thérèse de Marguenat de Courcelles, French salon holder (b. 1647)
August 16 – Matthew Tindal, English deist (b. 1657)
September 12 – François Couperin, French composer (b. 1668)
October 25 – Giovanni Girolamo Saccheri, Italian mathematician (b. 1667)
October 31 – Eberhard Louis, Duke of Württemberg, (b. 1676)
1733 (MDCCXXXIII) was a common year starting on Thursday (dominical letter D) of the Gregorian calendar and a common year starting on Monday (dominical letter G) of the Julian calendar, the 1733rd year of the Common Era (CE) and Anno Domini (AD) designations, the 733rd year of the 2nd millennium, the 33rd year of the 18th century, and the 4th year of the 1730s decade. As of the start of 1733, the Gregorian calendar was 11 days ahead of the Julian calendar, which remained in localized use until 1923.