- August - Stanley Clifford Weyman, US impostor, is killed when he tries to prevent a robbery
- August 6 - Cuban Revolution: In response to a United States embargo, Cuba nationalizes American and foreign-owned property in the nation
- August 7 - Côte d'Ivoire becomes independent
- August 16 - Joseph Kittinger parachutes from a balloon over New Mexico at 102,800 feet (31,333 m). He sets unbeaten (as of 2003) world records for: high-altitude jump; free-fall by falling 16 miles (25.7 km) before opening his parachute; and fastest speed by a human without motorized assistance, 982 km/h (614 mi/h).
- August 16 - Cyprus gains its independence from the United Kingdom
- August 17 - Gabon gains independence from France
- August 18 - Enovid, the first commercially produced oral contraceptive, is launched in Skokie, Illinois
- August 19 - Cold War: In Moscow, downed American U-2 pilot Francis Gary Powers is sentenced to ten years imprisonment by the Soviet Union for espionage
- August 19 - Sputnik program: The Soviet Union launches Sputnik 5 with the dogs Belka and Strelka (Russian for "Squirrel" and "Little Arrow"), 40 mice, 2 rats and a variety of plants. The spacecraft will return to earth the next day and all animals will be recovered safely
- August 20 - Senegal breaks from the Mali federation, declaring independence.
- August 25 - USS Seadragon (SSN-584) surfaces at the north pole where the crew plays softball.
- December ? State of emergency is lifted in Kenya - Mau Mau Rebellion is officially over
- December 1 - Patrice Lumumba, the deposed premier of the Republic of the Congo was arrested by troops of Col. Joseph Mobutu
- December 1 - A 5-ton Soviet space ship containing animals, insects and plants was launched into orbit. The spacecraft burned up upon re-entry.
- December 2 - The Archbishop of Canterbury, the Most Rev. Geoffrey Francis Fisher, talked with Pope John XXIII for about an hour in the Vatican. It was the first time in more than 500 years that a head of the Anglican church had visited the Pope.
- December 2 - U.S. President Dwight D. Eisenhower authorizes the use of $1M for the relief and resettlement of Cuban refugees in Florida. Cuban refugees have been arriving in Florida at the rate of 1,000 a week
- December 4 - Admission to the United Nations of Mauritania was vetoed by the USSR.
- December 5 - Pierre Lagaillarde, who led 1958 and 1960 insurrections in Algeria, failed to appear in a Paris court. He was reported to have fled with 4 fellow defendants to Spain en route to Algeria.
- December 7 - The United Nations Security Council was called into session by the USSR to consider the Soviet demands that the U.N. seek the immediate release of former Congolese Premier Patrice Lumumba.
- December 9 - French President Charles de Gaulle's visit to Algeria was marked by bloody riots by European and Muslim mobs in Algeria's largest cities, killing 127 people.
- December 12 - A Federal Court ruling that Louisiana's anti-integration laws were unconstitutional was upheld by the U.S. Supreme Court.
- December 13 - While the Emperor Haile Selassie I of Ethiopia was on a visit to Brazil, an unsuccessful revolt against his rule is carried out by his Imperial Guard. The rebels proclaim the emperor's son, Crown Prince Asfa-Wossen.
- December 14 - Antione Gizenga proclaims in Stanleyville in the Republic of the Congo that he has assumed the premiership.
- December 15 - King Mahendra of Nepal deposes the government and takes power into his own hands
- December 16 - U.S. Secretary of State Christian Herter announced that the United States would commit five atomic submarines and 80 Polaris missiles to NATO by the end of 1963
- December 16 - A collision of a United Airlines DC-8 and a TWA Super-Constellation over New York City killed 128 on planes and 6 on the ground.
- December 17 - Troops loyal to Haile Selassie I in Ethiopia suppress the revolt that started on December 13 and give power back to their leader upon his return from Brazil. Haile Selassie absolves his son of any guilt.
- December 19 - Fire sweeps through the USS Constellation, the U.S.'s largest aircraft carrier, while it is under construction at a Brooklyn Navy Yard pier, injuring 150 and killing 50.
- December 20 - Discoverer XIX is launched into polar orbit from Vandenberg Air Force Base, to measure radiation.
- December 27 - France sets off its third nuclear test blast at its atomic proving grounds at Reggane, Algeria.
Year in topic
- 1960 in film
- 1960 in literature
- 1960 in music
- 1960 in sports
- 1960 in television
- February 11 - Jack Paar walks off his TV show because his monologue had been edited the night before, in favor of a three minute news update. Parr walked out at the beginning of the show, announced that he was quiting, said "There's got to be a better way to make a living," and walked off the stage. After network executives personally apologized, Parr returned to the show a month later. His first show back started with the words "As I was saying before I was interrupted..."
- American Presidential Candidates John F. Kennedy and Richard M. Nixon debate live on television. The candidates behavior during the debate most likely altered the outcome of the election. In addition to being the first Presidential debates to be broadcast on television, the debates also marked the first time "split screen" images were used by a network.
- The Andy Griffith Show premieres
- Hanna Barbera's The Flintstones make their debut
- 90% of homes in the United States now own a television set, and over one hundred million television sets in use worldwide
- January 3 - Joan Chen, actress
- January 4 - Michael Stipe, singer for R.E.M.
- January 6 - Nigella Lawson, celebrity chef, writer
- January 6 - Howie Long, American football star
- January 11 - Stanley Tucci, actor
- January 12 - Oliver Platt, actor
- January 13 - Kevin Anderson, actor
- January 22 - Michael Hutchence, musician ("INXS") (d. 1997)
- January 24 - Nastassja Kinski, actress
- January 28 - Robert von Dassanowsky, cultural historian, writer, producer
- January 29 - Greg Louganis, Olympics gold medalist in diving
- February 7 - James Spader, actor (Pretty in Pink, Stargate, The Practice)
- February 11 - Richard Mastracchio, astronaut
- February 13 - Pierluigi Collina, football referee
- February 19 - Prince Andrew, second son of Queen Elizabeth II
- February 29 - Tony Robbins, motivational speaker
- March 4 - Mykelti Williamson, actor
- March 7 - Joe Carter, baseball star
- March 7 - Ivan Lendl, tennis player
- March 13 - Adam Clayton, bassist for the rock band U2
- March 18 - Richard Biggs, actor (Days of Our Lives, Babylon 5) (d. 2004)
- March 21 - Ayrton Senna, automobile racer (d. 1994)
- March 26 - Marcus Allen, American football star
- March 29 - Marina Sirtis, actress (Star Trek: The Next Generation)
- April 2 - Linford Christie, British athlete
- April 4 - Hugo Weaving, actor
- April 14 - Brad Garrett, actor (Everybody Loves Raymond)
- April 26 - Roger Taylor, musician ("Duran Duran")
- May 10 - Bono, singer of U2
- May 18 - Jari Kurri, Hockey Hall of Famer
- May 18 - Yannick Noah, tennis player
- May 20 - John Billingsley, actor (Star Trek: Enterprise)
- May 21 - Jeffrey Dahmer, serial killer (d. 1994)
- June 6 - Gary Graham, actor (Alien Nation, Star Trek: Enterprise)
- June 8 - Mick Hucknall singer/songwriter of Simply Red
- August 4 - José Luis Rodríguez Zapatero, Prime Minister of Spain
- August 7 - David Duchovny, actor (The X-Files)
- August 10 - Antonio Banderas, actor (Desperado, Spy Kids)
- August 24 - Cal Ripken, Jr., baseball star
- August 26 - Branford Marsalis, jazz musician
- September 9 - Hugh Grant, actor (Nine Months, Notting Hill, Bridget Jones's Diary)
- September 10 - Colin Firth, actor (Shakespeare in Love, Bridget Jones's Diary, Love Actually)
- September 16 - John Franco, baseball relief pitcher
- September 17 - Damon Hill, 1996 Formula 1 World Champion
- October 5 - Daniel Baldwin, actor (Homicide: Life on the Street)
- October 30 - Diego Maradona, soccer player
- November 3 - Karch Kiraly, volleyball star
- November 10 - Neil Gaiman, author
- November 25 - John F. Kennedy, Jr., lawyer and journalist (d. 1999)
- November 25 - Amy Grant, contemporary Christian music star
- December 4 - Glynis Nunn, Australian heptathlete
- December 10 - Kenneth Branagh, actor, film director
- December 19 - Mike Lookinland, actor (The Brady Bunch)
- December 27 - Maryam d'Abo, actress (The Living Daylights)
- December 31 - John Allen Muhammad, convicted Beltway sniper
- January 4 - Albert Camus, Author, Nobel Prize winner (1957)
- January 12 - Nevil Shute, writer
- January 24 - Edwin Fischer, pianist and conductor
- February 3 - Fred Buscaglione, Italian singer and actor
- February 10 - Aloysius Stepinac, Roman Catholic prelate
- April 1 - Tuanku Abdul Rahman ibni Almarhum Tuanku Muhammad, Yang di-Pertuan Besar of Negeri Sembilan and 1st Yang di-Pertuan Agong of Malaysia.
- May 8 - J. H. C. Whitehead, British mathematician
- May 30 - Boris Pasternak, Soviet novelist
- June 23 - Frantisek Omelka, Czech pedagogue (b. 1904)
- June 27 - Lottie Dod, English athlete
- August 28 - John O'Hara, U.S. cardinal
- August 29 - Vicki Baum, Jewish writer
- September 1 - Hisamuddin Alam Shah ibni Almarhum Sultan Alaeddin Sulaiman Shah, Sultan of Selangor and 2nd Yang di-Pertuan Agong of Malaysia.
- October 15 - Henny Porten, German film producer
- November 2 - Dimitri Mitropoulos, Greek conductor, pianist and composer (b. 1896)
- November 5 - Mack Sennett, pioneer producer/director