1675

January–June

• January 5 - Franco-Dutch War - Battle of Turckheim: The French defeat Austria and Brandenburg.
• January 29 - John Sassamon, an English-educated Native American Christian, dies at Assawampsett Pond, an event which will trigger a year-long war between the English American colonists of New England, and the Algonquian Native American tribes.
• March 30 - The guild organisation Maîtresses couturières is founded in Paris.
• April - English merchant Anthony de la Roché, blown off course after rounding Cape Horn eastabout, makes the first discovery of land south of the Antarctic Convergence, landing on South Georgia and Gough Island.
• June 8 - John Sassamon's alleged murderers are executed at Plymouth.
• June 11 - Armed Wampanoags are reported traveling around Swansea, Massachusetts.
• June 14-25 - Colonial authorities of Rhode Island, Plymouth, and Massachusetts attempt a negotiation with Metacomet, leader of the Wampanoags, and seek guarantees of fidelity from the Nipmuck and Narragansett tribes.
• June 24 - King Philip's War breaks out, as the Wampanoags attack Swansea.
• June 26 - Massachusetts troops march to Swansea, to join the Plymouth troops.
• June 26-29 - Wampanoags assault Rehoboth and Taunton; the natives elude colonial troops and leave Mount Hope for Pocasset, Massachusetts. The Mohegan tribe travels to Boston, in order to side with the English colonists against the Wampanoags.
• June 28 - Brandenburg defeats the Swedes in the Battle of Fehrbellin.

  July–December

• July 15 - The Narragansett tribe signs a peace treaty with Connecticut.
• July 16-24 - An envoy from Massachusetts attempts to negotiate with the Nipmuck tribe.
• August 2-4 - The Nipmucks attack Massachusetts troops and besiege Brookfield, Massachusetts.
• August 10 - King Charles II of England places the foundation stone of the Royal Greenwich Observatory in London; construction begins.
• August 13 - The Massachusetts Council orders that Christian Indians are to be confined to designated praying towns.
• September 1-2 - While Wampanoags and Nipmucks attack Deerfield, Massachusetts, Captain Samuel Moseley commands Massachusetts troops in an attack on the Pennacook tribe.
• September 12 - English colonists abandon Deerfield, Squakeag, and Brookfield due to a coalition of Indian attacks.
• September 15 - The Bremen-Verden Campaign of the Northern Wars begins, with the invasion of Amt Wildeshausen by the Münster army, and their advance on Verden via the city of Bremen.
• September 18 - The Narragansetts sign a treaty with the English in Boston; meanwhile, Massachusetts troops are ambushed near Northampton, Massachusetts.
• September 20 - In England, a fire destroys most of the town of Northampton. According to a contemporary account, "the market place, the stately church of Allhallows, 2 other parish churches and above three-fourth parts of the whole town was consumed and laid in ashes.".
• October 5 - The Pocomtuc tribe attacks and destroys Springfield, Massachusetts.
• October 13 - The Massachusetts Council convenes and agrees that all Christian Indians should be ordered to move to Deer Island.
• October 29 - Gottfried Wilhelm Leibniz makes the first use of the long s as a symbol of the integral in calculus.
• November 2-12 - Commissioners of the Thirteen Colonies organize a united force to attack the Narragansett tribe.
• November 11
• * Guru Teg Bahadur, ninth of the Sikh gurus, is executed by Mughal rulers; he prefers execution, to defend the right of Hindus to practice their own religion. He is succeeded by Guru Gobind Singh as tenth Guru.
• * Gottfried Leibniz uses infinitesimal calculus on a function.
• December 11 - Antonio de Vea expedition enters San Rafael Lake in western Patagonia.
• December 19 - United colonial forces attack the Narragansetts at the Great Swamp Fight.
• December 24 - 1675–1676 Malta plague epidemic begins.

  Date unknown

• Cassini discovers Saturn's Cassini Division.
• Antonie van Leeuwenhoek begins to use a microscope for observing human tissues and liquids.

  Births

• January 16 - Louis de Rouvroy, duc de Saint-Simon, French writer
• January 27 - Erik Benzelius the younger, Swedish priest
• February 8 - Anna Moroni, Italian educator
• February 21 - Franz Xaver Josef von Unertl, Bavarian politician
• February 28 - Guillaume Delisle, French cartographer
• March 31 - Pope Benedict XIV
• May 29 - Humphry Ditton, English mathematician
• June 1 - Francesco Scipione, marchese di Maffei, Italian archaeologist
• July 5 - Mary Walcott, American accuser at the Salem witch trials
• July 12 - Evaristo Abaco, Italian composer
• July 14 - Claude Alexandre de Bonneval, French soldier
• September 2 - William Somervile, English poet
• September 3 - Paul Dudley, Attorney-General of Massachusetts
• September 27 - Dorothea Krag, Danish General Postmaster and noble
• October 11 - Samuel Clarke, English philosopher
• October 21 - Emperor Higashiyama of Japan
• October 24 - Richard Temple, 1st Viscount Cobham, English soldier and politician
• date unknown
• * William Jones,
• * Tarabai, Indian queen regent of the Maratha Empire
• * Cille Gad, Norwegian poet

  Deaths

• January 9 - Francesco Maria Brancaccio, Catholic cardinal
• January 26 - Domenico II Contarini, Doge of Venice
• February 9 - Gerhard Douw, Dutch painter
• February 10 - Gervase Holles, English Member of Parliament
• March 14 - Francis Davies, British bishop
• March 18 - Arthur Chichester, 1st Earl of Donegall, Irish soldier
• April 8 - Veit Erbermann, German theologian
• April 10 - Dorothea of Saxe-Altenburg, Duchess of Saxe-Altenburg by births and by marriage Duchess of Saxe-Eisenach
• April 12 - Richard Bennett, British Colonial Governor of Virginia
• May 1 - Jonathan Rashleigh, English politician
• May 6 - August Philipp, Duke of Schleswig-Holstein-Sonderburg-Beck, Danish-German prince and member of the House of Oldenburg
• May 18
• * Stanisław Lubieniecki, Polish Socinian theologian
• * Father Jacques Marquette, French missionary and explorer
• May 27 - Gaspard Dughet, French painter
• June 5 - John Mordaunt, 1st Viscount Mordaunt, English politician
• June 11
• * Sir Anthony Cope, 4th Baronet, English Member of Parliament
• * Dorothea Maria of Saxe-Weimar, Duchess of Saxe-Zeitz, by marriage Duchess of Saxe-Zeitz
• June 12 - Charles Emmanuel II, Duke of Savoy
• July 14 - Daniel Hallé, French painter
• July 20 - Giles Strangways, English politician
• July 25 - Johan Stiernhöök, Swedish lawyer
• July 27 - Henri de la Tour d'Auvergne, Vicomte de Turenne, Marshal of France
• July 28 - Bulstrode Whitelocke, English lawyer
• August 5 - Brynjólfur Sveinsson, Icelandic bishop and scholar
• August 16 - António Luís de Meneses, 1st Marquis of Marialva, Portuguese general and noble
• August 29 - Joachim Irgens von Westervick, Dano-Norwegian nobleman
• September 8
• * Amalia of Solms-Braunfels, Princess consort to Frederick Henry
• * Frederick, Count of Nassau-Weilburg, ruling Count of Nassau-Weilburg
• September 18 - Charles IV, Duke of Lorraine
• September 23 - Valentin Conrart, French founder of the Académie française
• October 10 - Tommaso Tamburini, Italian theologian
• October 15 - William Wadsworth, American colonial pioneer
• October 26 - William Sprague, English co-founder of Charlestown, Massachusetts
• October 27 - Gilles de Roberval, French mathematician
• November - Feodosia Morozova, Russian religious dissident martyr
• November 1 - Guru Tegh Bahadur, 9th Sikh Guru
• November 4 - Remigius van Leemput, painter from the Southern Netherlands
• November 10 - Leopoldo de' Medici, Italian Catholic cardinal
• November 11 - Thomas Willis, English doctor who played an important part in the history of anatomy
• November 15 - Preben von Ahnen, German-born civil servant and landowner in Norway
• November 21 - George William, Duke of Liegnitz
• November 28 - Basil Feilding, 2nd Earl of Denbigh, English Civil War soldier
• November 28 - Leonard Hoar, American President of Harvard University
• November 30
• * Cecil Calvert, 2nd Baron Baltimore, colonial Governor of Maryland
• * Sir John Lowther, 1st Baronet, of Lowther, English politician
• December 6 - John Lightfoot, English churchman, scholar
• December 15 - Johannes Vermeer, Dutch painter
• December 16 - Armand-Nompar de Caumont, duc de La Force, Marshal of France
• December 23 - Caesar, duc de Choiseul, French marshal and diplomat
• date unknown - Margareta Beijer, director of the Swedish Royal Post Office