Year 1895 (MDCCCXCV) was a common year starting on Tuesday (link will display full calendar) of the Gregorian calendar and a common year starting on Sunday of the 12-day-slower Julian calendar.
- April 6 – Oscar Wilde is arrested after losing a libel case against the Marquess of Queensberry.
- April 14 – A major earthquake severely damages Ljubljana, Slovenia.
- April 16 – The town of Sturgeon Falls, Ontario, is incorporated.
- April 17 – The Treaty of Shimonoseki is signed between China and Japan. This marks the end of the first Sino-Japanese War, and the defeated Qing Empire is forced to renounce its claims on Korea and to concede the southern portion of Fengtien province, Taiwan, and the Pescadores Islands to Japan.
- April 22 – Gongche Shangshu movement: 603 candidates sign a 10,000-word petition against the Treaty of Shimonoseki.
- May 1 – Dundela Football, Sports & Association Club were formed
- May 2 – Gongche Shangshu movement: Thousands of Beijing scholars and citizens protest against the Treaty of Shimonoseki.
- May 24 – Anti-Japanese officials led by Tang Ching-sung in Taiwan declare independence from the Qing Dynasty, forming the short-lived Republic of Formosa.
- May 25 – Oscar Wilde is convicted of "sodomy and gross indecency" and is sentenced to serve 2 years in prison at Reading.
- May 27 – In re Debs: The Supreme Court of the United States decides that the federal government has the right to regulate interstate commerce, legalizing the military suppression of the Pullman Strike.
- June 28 – The union of Nicaragua, Honduras and El Salvador begins (ends in 1898).
- Night of July 10–July 11 – The Doukhobors' pacifist protests culminate in the "Burning of the Arms" in their villages in the South Caucasus.
- July 15 – Archie MacLaren scores County Championship cricket record innings of 424 for Lancashire against Somerset at Taunton.
- July 31 – The Basque Nationalist Party (Euzko Alderdi Jeltzalea-Partido Nacionalista Vasco) was founded by Basque nationalist leader Sabino Arana.
- August 19 – American frontier murderer and outlaw John Wesley Hardin is killed by an off-duty policeman in a saloon in El Paso, Texas.
- August 29 – The Northern Rugby Football Union (now Rugby Football League) is formed at a meeting in the George Hotel, Huddersfield, England. This event leads to the creation of the sport of rugby league football.
- September 3 – The first professional American football game is played, in Latrobe, Pennsylvania, between the Latrobe YMCA and the Jeannette Athletic Club (Latrobe wins 12–0).
- September 7 – The first game of what would become known as rugby league football is played, in England, starting the 1895-96 Northern Rugby Football Union season.
- September 18 – Booker T. Washington delivers the Atlanta Compromise speech.
- September 18 – Tomoji Tanabe is born in Miyakonojo, Miyazaki Prefecture, Japan. He would become the last living man born in 1895. Tanabe died on June 19, 2009, at the age of 113.