Year (''' MDCCXXXVI ''') was a Leap Year Starting On Sunday (link will display the full calendar) of the Gregorian Calendar (or a Leap Year Starting On Thursday of the 11-day slower Julian Calendar ).
: Battle Of Ackia .]]
- January 7 - Andrew Adams , American judge (died 1797 )
- January 19 - James Watt , Scottish inventor (died 1819 )
- January 25 - Joseph Louis Lagrange , Italian-born mathematician (died 1813 )
- February 3 - Johann Georg Albrechtsberger , Austrian musician (died 1809 )
- February 29 - Ann Lee , American religious leader (died 1784 )
- May 10 - George Steevens , English literary critic (died 1800 )
- May 29 - Patrick Henry , American patriot (died 1799 )
- June 3 - Sir John Acton, 6th Baronet , Prime Minister of Naples (died 1811 )
- June 7 - Fermín Lasuén , Spanish missionary (died 1803 )
- June 14 - Charles-Augustin De Coulomb , French physicist (died 1806 )
- June 21 - Enoch Poor , American general (died 1780 )
- June 25 - John Horne Tooke , English politician and philologist (died 1812 )
- July - Juan Bautista De Anza , Governor of the Spanish Province of New Mexico (died 1788 )
- July 6 - Daniel Morgan , American pioneer, Congressman from Virginia, and general (died 1802 )
- August 26 - Jean-Baptiste L. Romé De L'Isle , French geologist (died 1790 )
- September 10 - Carter Braxton , signer of the American Declaration of Independence (died 1797 )
- September 15 - Jean Sylvain Bailly , French astronomer (died 1793 )
- October 27 - James Macpherson , Scottish poet (died 1796 )
- ''date unknown''
- --- Robert Jephson , Irish dramatist (died 1803 )
- --- Pierre Le Pelley I , Seigneur of Sark (died 1778 )
- --- Alexander Runciman , Scottish painter (died 1785 )
- --- Claudius Smith , American revolutionary (died 1779 )
: ''See also .''
- January 31 - Filippo Juvara , Italian architect (born 1678 )
- February 7 - Stephen Gray , English dyer, astronomer, and scientist (born 1666 )
- March 16 - Giovanni Battista Pergolesi , Italian composer (born 1710 )
- March 25 - Nicholas Hawksmoor , British architect (born c. 1661 )
- April 24 - Prince Eugene Of Savoy , French-born Austrian general (born 1663 )
- April 30 - Johann Albert Fabricius , German scholar and bibliographer (born 1668 )
- September 16 - Gabriel Fahrenheit , German physicist and inventor (born 1686 )
- December 10 - António Manoel De Vilhena , Portuguese ruler of Malta (born 1663 )
- December 28 - Antonio Caldara , Italian composer (born 1670 )
- Ahmed III , Ottoman Sultan (born 1673 )
- Captain John Porteous , Scottish captain (born c. 1695 )
: ''See also .''
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