April 4 – A severe epidemic of influenza breaks out in London and "practically the entire population of the city" is afflicted; particularly contagious to pregnant women, the disease causes an unusual number of miscarriages and premature births. 
April 14 – Thomas Boone is transferred south to become the Royal Governor of South Carolina after proving to be unable to work with the local assembly as the Royal Governor of New Jersey. 
June 6 – (May 26 old style); A transit of Venus occurs, and is observed from 120 locations around the Earth. In his observations by telescope at St. Petersburg, Mikhail Lomonosov notes a ring of light around the planet's silhouette as it begins the transit, and becomes the first astronomer to discover that the planet Venus has an atmosphere. 
August 6 – The parlement of Paris votes to close all colleges, associations and seminaries associated with the Jesuit Order, following a long campaign by Louis-Adrien Le Paige. 
August 11 – Two years after his marriage to Martha Custis and his move to Mount Vernon, retired British Army General George Washington advertises a reward in the Maryland Gazette for the capture of four fugitive slaves, named Cupid, Peros, Jack, and Neptune, averring that they had escaped "without the least suspicion, provocation, or difference with anybody". 
October 5 – William Pitt is dismissed from his position as Secretary of State for the Southern Department (which administers Britain's American colonies) after having been a powerful part of a coalition government with the Prime Minister, the Duke of Newcastle. King George III, who had ascended the throne a year earlier, despises both men and takes the action two weeks after his formal coronation.
October 30 – British Army Colonel Henry Bouquet issues the first proclamation against British settlement on Indian lands in America. 
November 7 – The New London Harbor Light is first lit to guide ships into the Connecticut harbor; the lighthouse, only the fourth to be built has been in continuous operation for more than 250 years.
November 26 – A 500-man force from the Army of Spain brings the revolt of Mexico's Maya population to an end, capturing the Yucatan village of Cisteil, killing about 500 of the 2,500 Mayan defenders and losing 40 of their own.  The Spaniards arrest 254 people, including Jacinto Canek, who had proclaimed himself as King Canek Montezuma of the Mayas. Canek and eight other rebellion leaders are executed less than three weeks later.