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|Centuries:||17th century – 18th century – 19th century|
|Decades:||1700s 1710s 1720s – 1730s – 1740s 1750s 1760s|
|Years:||1732 1733 1734 – 1735 – 1736 1737 1738|
|1735 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||2488|
|British Regnal year||8 Geo. 2 – 9 Geo. 2|
— to —乙卯年十一月十八日
|- Vikram Samvat||1791–1792|
|- Shaka Samvat||1657–1658|
|- Kali Yuga||4836–4837|
|- Ǹrí Ìgbò||735–736|
|Japanese calendar||Kyōhō 20
|Juche calendar||N/A (before 1912)|
|Julian calendar||Gregorian minus 11 days|
|Minguo calendar||177 before ROC
|Thai solar calendar||2278|
|Wikimedia Commons has media related to: 1735|
Year 1735 (MDCCXXXV) was a common year starting on Saturday (link will display the full calendar) of the Gregorian calendar and a common year starting on Wednesday of the 11-day slower Julian calendar.
- January 2 – Alexander Pope's poem Epistle to Dr Arbuthnot published in London.
- January 8 – George Frideric Handel's opera Ariodante is premièred at the Royal Opera House in Covent Garden, London.
- February 14 – The Order of St. Anna is established in Russia, in honour of the daughter of Peter the Great.
- April 13 – Emperor Sakuramachi accedes to the throne of Japan.
- April 16 – Alcina, George Frideric Handel's Italian opera, premieres at the Royal Opera House in Covent Garden, London.
- May 22 – George Hadley publishes the first explanation of the trade winds.
- July 11 – Pluto (not known at this time) enters a fourteen-year period inside the orbit of Neptune, which will not recur until 1979.
- August 14 – Freedom of the press: New York Weekly Journal writer John Peter Zenger is not acquitted of seditious libel against the royal governor of New York, on the basis that what he published was true.
- October – War of the Polish Succession: A preliminary peace, ratified in 1738, is concluded.
- October 18 – The Qianlong Emperor succeeds Yongzheng and begins a 60-year-long reign of the Qing Dynasty.
Date unknown 
- Linnaeus publishes his Systema Naturae.
- Russo-Turkish War, 1735-1739: Russian forces fail to occupy the Crimea due to rasputitsa.
- A shipbuilding industry begins in Mumbai.
- Leonhard Euler solves the Basel problem, first posed by Pietro Mengoli in 1644, and the Seven Bridges of Königsberg problem.
- The King's Highway (Charleston to Boston) is completed.
- Quebec: Construction begins on the Chemin du roy between Quebec and Montreal.
- Augusta, Georgia, is founded.
- Cobalt is discovered and isolated by Georg Brandt.
- First successful Appendectomy by french surgeon Claudius Aymand in London
- January 1 – Paul Revere, American silversmith and patriot (d. 1818)
- January 8 – John Carroll (priest) first Roman Catholic Archbishop in the U.S. (d. 1815)
- January 9 – John Jervis, 1st Earl of St Vincent, British Royal Navy admiral (d. 1823)
- January 27 – Étienne Clavière, French financier and politician (d. 1793)
- February 28 – Alexandre-Théophile Vandermonde French musician and chemist (d. 1796)
- March 29 – Johann Karl August Musäus German author (d. 1787)
- April 13 – Isaac Low, New York delegate to the Continental Congress (d. 1791)
- May 1 – Lorenzo Hervás y Panduro Spanish Jesuit philologist (d. 1809)
- May 23 – Charles Joseph, Prince de Ligne, (d. 1814)
- September 5 – Johann Christian Bach, German composer (d. 1782)
- September 20 – James Keir, Scottish geologist, chemist, and industrialist (d. 1820)
- September 28 – Augustus FitzRoy, 3rd Duke of Grafton, Prime Minister of the United Kingdom (d. 1811)
- October 1 – Augustus Henry Fitzroy, 3rd Duke of Grafton (d. 1811)
- October 9 – Karl Wilhelm Ferdinand, Duke of Brunswick (d. 1806)
- October 21 – Richard Gough, English antiquary (d. 1809)
- October 30 – John Adams, 2nd President of the United States (d. 1826)
- November 10 – Granville Sharp, English abolitionist (d. 1813)
- December 29 – Thomas Banks, English sculptor and artist (d. 1805)
- December 31 – Jean de Crévecoeur, French-American writer (d. 1813)
- date unknown – John Julius Angerstein, English merchant and insurer (d. 1822)
- January 12 – John Eccles, British composer (b. 1668)
- January 13 – Polyxena of Hesse-Rotenburg, Queen consort of Sardinia (b.1706)
- January 18 – Maria Clementina Sobieski, Polish princess (b. 1702)
- February 27 – John Arbuthnot, British physician and author (b. 1667)
- April 5 – William Derham, English minister and writer (b. 1657)
- April 5 – Samuel Wesley, English poet and religious leader (b. 1662)
- June 10 – Thomas Hearne, British antiquarian (b. 1678)
- September 27 – Peter Artedi, Swedish naturalist (drowned) (b. 1705)
- October 8 – Yongzheng Emperor of China (b. 1678)
- November 12 – Landon Amadour poet and composer (b. 1714)
- December 14 – Thomas Tanner, English bishop and antiquarian (b. 1674)
- Philosophical Transactions of the Royal Society (London) 39: 58–62.
- McConnell, Anita (2004). "Hadley, George (1685–1768)". Oxford Dictionary of National Biography. Oxford University Press. doi:10.1093/ref:odnb/11858. Retrieved 2011-09-27. (subscription or UK public library membership required)
- The Hutchinson Factfinder. Helicon. 1999. ISBN 1-85986-000-1.