| 63991 | June 4 | Birth | 1934 – Seamus Elliott, Irish cyclist (d. 1971) |
| 63992 | June 4 | Birth | 1934 – Daphne Sheldrick, Kenyan-British conservationist and author |
| 63993 | June 4 | Birth | 1935 – Colette Boky, Canadian soprano and actress |
| 63994 | June 4 | Birth | 1935 – Berhanu Dinka, Ethiopian economist and diplomat (d. 2013) |
| 63995 | June 4 | Birth | 1936 – Nutan, Indian actress and singer (d. 1991) |
| 63996 | June 4 | Birth | 1936 – Vince Camuto, American fashion designer and businessman, co-founded Nine West (d. 2015) |
| 63997 | June 4 | Birth | 1936 – Bruce Dern, American actor |
| 63998 | June 4 | Birth | 1936 – Oleg Fyodoseyev, Russian triple jumper (d. 2001) |
| 63999 | June 4 | Birth | 1937 – Freddy Fender, American singer and guitarist (Texas Tornados and Los Super Seven) (d. 2006) |
| 64000 | June 4 | Birth | 1937 – Robert Fulghum, American author |
| 64001 | June 4 | Birth | 1937 – Gorilla Monsoon, American wrestler, manager, and sportscaster (d. 1999) |
| 64002 | June 4 | Birth | 1937 – Mortimer Zuckerman, Canadian-American businessman, founded Boston Properties |
| 64003 | June 4 | Birth | 1938 – Art Mahaffey, American baseball player |
| 64004 | June 4 | Birth | 1939 – Jeremy Browne, 11th Marquess of Sligo, Anglo-Irish peer member, British House of Lords until 1999 (d. 2014) |
| 64005 | June 4 | Birth | 1939 – Denis de Belleval, Canadian civil servant and politician |
| 64006 | June 4 | Birth | 1939 – Henri Pachard, American director and producer (d. 2008) |
| 64007 | June 4 | Birth | 1939 – George Reid, Scottish journalist and politician, 2nd Presiding Officer of the Scottish Parliament |
| 64008 | June 4 | Birth | 1940 – David Collings, English actor |
| 64009 | June 4 | Birth | 1940 – Ludwig Schwarz, Slovak-Austrian bishop |
| 64010 | June 4 | Birth | 1941 – Kenneth G. Ross, Australian playwright and screenwriter |
| 64011 | June 4 | Birth | 1942 – Louis Reichardt, American mountaineer |
| 64012 | June 4 | Birth | 1942 – Bill Rowe, Canadian lawyer and politician |
| 64013 | June 4 | Birth | 1943 – Sandra Haynie, American golfer |
| 64014 | June 4 | Birth | 1943 – Tom Jaine, English author |
| 64015 | June 4 | Birth | 1943 – Joyce Meyer, American author and educator |
| 64016 | June 4 | Birth | 1944 – Roger Ball, Scottish saxophonist and songwriter (Average White Band) |
| 64017 | June 4 | Birth | 1944 – Michelle Phillips, American singer-songwriter and actress (The Mamas & the Papas) |
| 64018 | June 4 | Birth | 1945 – Anthony Braxton, American saxophonist, clarinet player, and composer (Circle and Creative Construction Company) |
| 64019 | June 4 | Birth | 1945 – Daniel Topolski, English rower and coach (d. 2015) |
| 64020 | June 4 | Birth | 1945 – Gordon Waller, Scottish singer-songwriter and guitarist (Peter and Gordon) (d. 2009) |