1680

January–March

• January 2 - King Amangkurat II of Mataram, invites Trunajaya, who had led a failed rebellion against him until his surrender on December 26, for a ceremonial visit to the royal palace. After Trunajaya arrives, King Amangkurat stabs his guest to death.
• January 24 - William Harris, one of the four English Puritans who established the Plymouth Colony and then the Providence Plantations at Rhode Island in 1636, is captured by Algerian pirates, when his ship is boarded while he is making a voyage back to England. After being sold into slavery on February 23, he remains a slave until ransom is paid. He dies in 1681, three days after his return to England.
• February 12 - The Marquis de Croissy, Charles Colbert, becomes France's Minister of Foreign Affairs and serves for 16 years until his death, when he is succeeded as Foreign Minister by his son Jean-Baptiste Colbert.
• February 16 - Rev. Ralph Davenant's will provides for foundation of the Davenant Foundation School for poor boys in Whitechapel, in the East End of London.
• February 22 - Catherine Deshayes Monvoisin, a fortune teller in France who organized a ring of killers in what became known as the "Affair of the Poisons" that killed at least 1,000 people, is burned at the stake after being convicted of witchcraft. In all, 36 people are executed for their role in the poisoning.
• February 24 - The German Duchy of Saxe-Coburg is divided by treaty among the sons of the late Ernest I, Duke of Saxe-Gotha, who had died in 1675. The oldest son, Frederick, receives Saxe-Gotha-Altenburg. The rest is divided among Albert ; Bernhard ; Henry ; Christian ; Ernest ; and John Ernest.
• March 24 - The Earl of Shaftesbury informs the Privy Council of England that the Roman Catholics of Ireland were about to launch a rebellion, backed by France. The investigation leads to the arrest and ultimate execution of the Roman Catholic Archbishop of Armagh, Oliver Plunkett.
• March 25 - Troops sent by the Sultan of Morocco, Ismail Ibn Sharif, begin a blockade of the port of Tangier, occupied by the English and located on the North African coast. Palmes Fairborne is dispatched to defend Tangier as the colonial governor and commander-in-chief of English forces.
• March 27 - The London Penny Post delivery service begins operations after being created by Robert Murray and William Dockwra, with a policy of delivering letters to any part of London or its suburbs for the price of one English penny.
• March 30 - A total eclipse of the Sun takes place and is visible over central Africa, with totality over the Opala Territory in the modern-day Democratic Republic of the Congo.

April–June

• April 21 - Prince Rajaram Bhosle, the 10-year-old son of the Shivaji, the Chhatrapati of the Maratha Empire in India, is installed on the throne as the new Emperor, less than three weeks after the death of his father. Sambhaji Bhosle, the eldest son of Shivaji, learns the news while imprisoned at Panhala and makes plans to escape prison and take over the throne.
• April 27 - Prince Sambhaji and fellow prisoners kill the commander of the Panhala prison and take control of the fort, as he makes plans to become ruler of the Maratha Empire.
• April 30 - The first French Huguenots in the New World arrive at Charleston, South Carolina, as 45 of the religious exiles arrive at Oyster Point on the ship Richmond, after being sent there by King Charles II of England.
• May 6 - King Charles XI of Sweden marries Princess Elonora, daughter of the late King Frederick III of Denmark-Norway and sister of King Christian V.
• May - The volcano Krakatoa erupts, probably on a relatively small scale.
• June 4 - Tokugawa Tsunayoshi becomes the new Shōgun of Japan upon the death of his older brother, Tokugawa Ietsuna, who had been shōgun for 29 years.
• June 10 - England and Spain sign a mutual defense treaty.
• June 11 - Elizabeth Cellier, an English Catholic midwife, is tried and acquitted of treason for pamphleting against the government.
• June 16 - Sambhaji Bhosle and his troops capture Raigad, the capital of the Maratha Empire and Sambhaji becomes the new Chhatrapati or Emperor. Sambhaji deposes his younger brother Rajaram I and places Rajaram and Rajaram's mother under house arrest.
• June 22 - The Sanquhar Declaration, written by Richard Cameron, leader of the Covenanters who oppose the control of religion in Scotland by King Charles, is read aloud by Richard's brother Michael Cameron at the public square in the village of Sanquhar in Dumfriesshire.
• June 30 - During the Spanish Inquisition, an auto-da-fé takes place in the Plaza Mayor, Madrid.

July–September

• July 8 - The first documented tornado in America kills a servant at Cambridge, Massachusetts.
• August 10 - A Pueblo medicine man named Popé begins an attack by the Puebloans and their Apache allies on Spanish outposts throughout what is the modern-day U.S. state of New Mexico, choosing the campaign to begin before a supply caravan can reach the Spaniards.
• August 20 - The settlement of Karlskrona in Sweden is founded, as the Royal Swedish Navy relocates there.
• August 21 - In the Pueblo Revolt, the native Pueblo people capture Santa Fe from the Spanish colonists.
• August 24 - Comédie-Française is founded by decree of Louis XIV as La maison de Molière in Paris.
• September 11 - Emperor Go-Mizunoo spent his later years in relative seclusion as a retired emperor, continuing to participate in courtly and cultural activities until his passing away.
• September 15
• *A four month truce between England and Morocco expires and the Alcaid Omar, Viceroy of Morocco, begins a bombardment of the English fort at Tangier.
• *A treaty is concluded between the Dutch Republic and the Ottoman Empire for Ottoman Sultan Mehmed IV and his subjects to apply Dutch law to Dutch visitors to Ottoman territory.
• September 21 - Spanish troops make a counterattack on Santa Fe in the modern-day U.S. state of New Mexico, allowing the remaining Spanish troops in the besieged city to flee to El Paso.
• September 30 - Robert Boyle, having rediscovered the process of manufacturing phosphorus from bone ash, deposits his summary of the directions with The Royal Society of London for Improving Natural Knowledge. Boyle's assistant, Ambrose Godfrey, later develops Boyle's discovery to produce phosphorus commercially.

October–December

• October 9 - A massive 9.0 magnitude earthquake destroys part of Málaga and other cities in the province of the same name.
• October 29 - At the request of King Charles XI of Sweden, the Riksdag in Sweden enacts the Great Reduction, returning fiefs which had been granted to the Swedish nobility to the Crown. The nation becomes an absolute monarchy under the rule of Charles.
• November 14 - The Great Comet of 1680 is first sighted by Gottfried Kirch, the first comet discovered by telescope.
• November 17 - The Green Ribbon Club, a predecessor of the British Whigs, organizes a procession to burn an effigy of the Pope in London for the second year running.
• December 17 - The trial for treason of William Howard, 1st Viscount Stafford before his fellow members of the House of Lords having concluded after seven days, the Lords vote on whether to convict him of the articles of impeachment. The Lords vote, 55 to 31 to convict him and to impose the death sentence and Lord Stafford is beheaded on 29 December

Date unknown

• Chambers of Reunion decide on the complete annexation of Alsace.
• The first Portuguese governor is appointed to Macau.
• Johann Pachelbel writes his Canon in D Major