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- January 2 to March 28 - The 1964 East Pakistan riots take place.
- June 21 - Civil Rights activists James Chaney, Andrew Goodman and Michael Schwerner are abducted and murdered in Neshoba County, Mississippi by members of the Ku Klux Klan.
- July 4 - Beginning of the Rhodesian Bush War.
- August 2 - The 1964 Gulf of Tonkin incident takes place.
- August 7 - The United States Congress passes the Gulf of Tonkin Resolution, formally entering the Vietnam War.
- October 14 - Leonid Brezhnev is named General Secretary of the Communist Party of the Soviet Union, after Nikita Khrushchev is removed from power.
- Unknown - FARC is founded.
- January 13 - Michael Charles Hayes
- February 1 - Idelphonse Hategekimana
- February 10 - Mir Aimal Kansi
- April 13 - Dokka Umarov
- June 7 - Judith Neelley
- June 18 - Uday Hussein
- June 22 - Maria Kisito
- June 28 - Tommy Lynn Sells
- July 2 - Andrea Yates
- August 25 - Azmin Ali
- August 27 - Paul Bernardo
- October 2 - Sam Bockarie
- October 26 - Marc Lepine
- November 10 - Patrick Purdy
- May 17 - Nancy Benoit
- October 18 - Sandra Lee Long
- June 11 - Plaek Phibunsongkhram
- September 27 - Adib Shishakli
- October 21 - Margaret Gibson
- November 12 - Heinz Jost
- March 13 - Kitty Genovese
- June 21 - James Chaney, Andrew Goodman and Michael Schwerner
- December 11 - Sam Cooke