January 4 - The Fabian Society is founded in London.
January 18 - Dr. William Price attempts to cremate the body of his infant son, Jesus Christ Price, setting a legal precedent for cremation in the United Kingdom.
February 1 - Edition one of the Oxford English Dictionary is published.
March 8 - Susan B. Anthony addresses the U.S. House Judiciary Committee arguing for an amendment to the U.S. Constitution granting women the right to vote. Anthony's argument came 16 years after legislators had first introduced a federal women's suffrage amendment.
March 13 - The siege of Khartoum, Sudan begins, ending on January 26, 1885.
May 1 - Proclamation of the demand for eight-hour workday in the United States.
July 3 - Dow Jones published its 1st stock average.
August 5 - The cornerstone for the Statue of Liberty is laid on Bedloe's Island in New York Harbor.
September 4 - Britain ends its policy of penal transportation to New South Wales in Australia.
September 23 - Herman Hollerith patents his mechanical tabulating machine.
October 6 - The Naval War College of the United States Navy is founded in Newport, Rhode Island.
October 13 - Greenwich is established as universal time meridian of longitude.
October 14 - George Eastman patents paper-strip photographic film.
November 1 - The Gaelic Athletic Association is set up in Hayes's Hotel in Thurles, County Tipperary.
December 1 - American Old West: Near Frisco, New Mexico, deputy sheriff Elfego Baca holds off a gang of 80 Texan cowboys who want to kill him for arresting Charles McCarthy.
December 6 - The Washington Monument in Washington D.C. is completed.