Event of Interest
Jun 2 Ken Jennings begins his 74-game winning streak on the syndicated game show Jeopardy!

Ken Jennings
- Jun 5 136th Belmont: Edgar Prado aboard Birdstone wins in 2:27.50
- Jun 5 French Open Women's Tennis: In an all-Russian final Anastasia Myskina wins her lone major title; beats Elena Dementieva 6-1, 6-2
- Jun 6 Tamil is established as a Classical language by the President of India, Dr. A.P.J. Abdul Kalam in a joint sitting of the two houses of the Indian Parliament.
- Jun 6 58th Tony Awards: Avenue Q & I Am My Own Wife win
- Jun 6 French Open Men's Tennis: Gastón Gaudio of Argentina beats countryman Guillermo Coria 0-6, 3-6, 6-4, 6-1, 8-6 for his lone major title
- Jun 7 Stanley Cup Final, Amalie Arena, Tampa, FL: Tampa Bay Lightning beat Calgary Flames, 2-1 for 4-3 series win; Tampa Bay's 1st-ever appearance in final
Music Single
Jun 7 "Live Like You Were Dying" single released by Tim McGraw (Grammy Award Best Country Song 2004, Billboard Song of the Year 2004)

Tim McGraw
Event of Interest
Jun 11 Ronald Reagan's funeral is held at Washington National Cathedral.

Ronald Reagan
- Jun 12 A 1.3 kilogram chondrite type meteorite strikes a house in Ellerslie, New Zealand causing serious damage but no injuries
- Jun 12 WLAF World Bowl 12, Arena AufSchalke, Gelsenkirchen: Berlin Thunder beats Frankfurt Galaxy, 30-24
- Jun 13 50th LPGA Championship Women's Golf, DuPont CC: Sweden's Annika Sörenstam goes back-to-back by 3 strokes ahead of runner-up Shi Hyun Ahn
- Jun 15 NBA Finals: Detroit Pistons beat Los Angeles Lakers, 100-87 in Game 5 to complete one of the greatest upsets in NBA history; MVP: Chauncey Billups
US Golf Open
Jun 20 US Open Men's Golf, Shinnecock Hills GC: Retief Goosen of South Africa wins his second Open title, 2 strokes ahead of runner-up and reigning Masters champion Phil Mickelson

Phil Mickelson
- Jun 21 SpaceShipOne becomes the first privately funded spaceplane to achieve spaceflight
- Jun 24 Capital punishment is declared unconstitutional in New York
- Jun 24 NBA Draft: Southwest Atlanta Christian Academy power forward Dwight Howard first pick by Orlando Magic
- Jun 28 Estonia, Lithuania and Slovenia join the European Exchange Rate Mechanism
- Jun 28 The 17th NATO Summit starts in Istanbul.
- Jun 28 Sovereign power is handed to the interim government of Iraq by the Coalition Provisional Authority, ending the U.S.-led rule of that nation
Music Single
Jun 29 Diana DeGarmo releases her single, "Dreams"

Diana DeGarmo
Film Release
Jun 30 "Spider-Man 2" directed by Sam Raimi and starring Toby Maguire and Kirsten Dunst is released

Kirsten Dunst
- Jun 30 British rock guitarist Dave Davies (The Kinks) suffers a debilitating stroke, at 57; he recovers in 2006 to resume his music career