Year 1945 was a year that started on a Monday. It is well known as the end of World War II.
- January 3 – Stephen Stills (Crosby, Stills, Nash & Young), singer, songwriter
- January 3 – Victoria Principal, actress
- January 9 – Levon Ter-Petrossian, first President of Armenia
- January 10 – Rod Stewart, singer
- January 19 – Maria Jespen, theologian
- January 26 – Jacqueline du Pré, cellist (d. 1987)
- January 27 – Nick Mason, musician of Pink Floyd
- January 28 – Marthe Keller, actress
- January 29 – Tom Selleck, actor (Magnum, P.I.)
- January 30 – Michael Dorris, author (d. 1997)
- February 3 – Bob Griese, Football Hall of Famer
- February 5 – Charlotte Rampling, actress
- February 6 – Bob Marley, Jamaican roots rock reggae singer and musician (d. 1981)
- February 7 – Pete Postlethwaite, actor
- February 9 – Mia Farrow, actress
- February 12 – Thilo Sarrazin, German politician and economist
- February 14 – Prince Hans-Adam II of Liechtenstein
- February 17 – Brenda Fricker, actress
- February 24 – Barry Bostwick, actor
- February 28 – Bubba Smith, Football Hall of Famer (d. 2011)
- March 7 – John Heard, actor
- March 8 – Micky Dolenz, actor, director, musica ("The Monkees")
- March 8 – Anselm Kiefer, painter
- March 19 – Cem Karaca, Turkish rock musician
- March 22 – Paul Schockemöhle, equestrian
- March 29 – Walt Frazier, basketball player
- March 30 – Eric Clapton, blues guitarist
- April 2 – Linda Hunt, actress
- April 4 – Daniel Cohn-Bendit, political activist
- April 4 – Craig T. Nelson, actor "Coach" "The District"
- April 27 – August Wilson, playwright
- May 4 – Narasinham Ram, journalist
- May 6 – Bob Seger, rock music singer
- May 6 – Jimmie Dale Gilmore, musician
- May 8 – Keith Jarrett, jazz musician
- May 13 – Magic Dick, musician ("The J. Geils Band")
- May 14 – Yochanan Vollach, Israeli footballer, president of Maccabi Haifa
- May 15 – Duarte Pio, Duke of Braganza presumptive heir to Portuguese crown
- May 19 – Pete Townshend, guitarist, lyricist
- May 21 – Ernst Messerschmid, physicist and astronaut
- May 28 – John Fogerty, singer
- May 31 – Rainer Werner Fassbinder, director
- June 15 – Her Royal Highness Princess Michael of Kent
- June 17 – Art Bell – radio talk show host
- June 17 – Eddy Merckx, Belgian cycling champion
- June 17 – Anupam Kher, actor, India
- June 19 – Aung San Suu Kyi, Myanmar poet, politician and Nobel peace laureate
- June 25 – Carly Simon, singer, songwriter
- July 7 – Michael Ancram (Michael Kerr, Earl of Ancram), British politician
- July 8 – Micheline Calmy-Rey, member of the Swiss Federal Council
- July 15 – Jürgen Möllemann, German politician (d. 2003)
- July 28 – Jim Davis, cartoonist
- August 14 – Steve Martin, actor and comedian
- August 31 – Itzhak Perlman, violinist
- August 31 – Van Morrison, musician
- September 3 – Aldo Moro, Italian politician
- September 8 – Jose Feliciano, singer
- October 12 – Aurore Clément, French actress
- October 15 – Jim Palmer, Baseball Hall of Famer
- October 27 – Luís Inácio Lula da Silva, Brazilian President
- October 30 – Henry Winkler, actor (Happy Days)
- November 3 – J. D. Souther, country rock musician
- November 5 – Jacques Lanctôt, FLQ terrorist
- November 12 – Neil Young, (Crosby, Stills, Nash and Young), singer, songwriter
- November 26 – Daniel Davis, actor (The Nanny)
- January 3 – Edgar Cayce, psychic, "exhaustion"
- January 22 – Else Lasker-Schuler, poet
- January 31 – Eddie Slovik, American soldier
- February 5 – Lilian Rolfe, SOE agent executed by the Nazis
- February 5 – Violette Szabo, SOE agent executed by the Nazis
- February 5 – Denise Bloch, SOE agent executed by the Nazis
- February 11 – Al Dubin, Swiss songwriter
- February 11 – J. S. H. Lokerman, Dutch resistance fighter
- February 17 – Gabrielle Weidner, Belgian heroine of World War II
- February 21 – Eric Liddell, Scottish runner
- March – Anne Frank, at Bergen-Belsen concentration camp, typhus
- March 2 – Emily Carr, artist
- March 18 – William Grover-Williams, Grand Prix motor racing driver/war hero
- March 19 – Friedrich Fromm, Nazi official
- March 23 – Elisabeth de Rothschild, executed by the Nazis
- March 26 – David Lloyd George, Prime Minister of the United Kingdom
- March 30 – Elise Rivet, Roman Catholic nun and war hero
- April 9 – Wilhelm Canaris, head of the German Abwehr, hanged for treason
- April 9 – Dietrich Bonhoeffer, theologian in Nazi Germany
- April 12 – United States President Franklin Delano Roosevelt, massive stroke
- April 18 – Ernie Pyle, American journalist, sniper fire
- April 28 – Benito Mussolini, Italian dictator, hanged
- April 30 – Adolf Hitler, German dictator and Nazi party leader, suicide
- May 1 – Cecily Lefort SOE agent, WW II heroine, executed by the Nazis
- May 1 – Joseph Goebbels, Nazi propagandist, suicide
- May 2 – Martin Bormann, Nazi-German politician (b. 1900)
- May 15 – Charles Williams, British author
- May 23 – Heinrich Himmler, head of the Nazi Gestapo, suicide
- July 5 – John Curtin, fourteenth Prime Minister of Australia
- August 2 – Pietro Mascagni, Italian composer
- August 9 – Harry Hillman, American athlete
- August 10 – Robert Goddard, American rocket scientist
- August 31 – Stefan Banach, Polish mathematician
- September 15 – Anton Webern, Austrian composer
- September 24 – Johannes Hans Geiger, inventor of the Geiger counter
- September 26 – Béla Bartók, aged 64, Hungarian composer
- October 13 – Milton Hershey, chocolate tycoon
- October 15 – Pierre Laval, former Vichy French premier, firing squad
- October 19 – N.C. Wyeth, illustrator
- October 24 – Vidkun Quisling, Norwegian politician, famous traitor, executed
- November 11 – Jerome Kern, composer
- November 21 – Robert Benchley, The New Yorker, humorist, theatre critic, actor
- December 4 – Thomas Hunt Morgan, biologist
- December 20 – General George S. Patton, car accident
- December 28 – Theodore Dreiser, author
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