- Jun 1 "Les Miserables" opens at Shubert Theatre, LA
- Jun 1 "Morton Downey Jr Show" debuts in TV syndication
- Jun 1 Train crash kills two in Zeeland, Netherlands
- Jun 2 61st National Spell Bee: Rageshree Ramachandran wins spelling elegiacal
- Jun 2 Consumer Reports calls for a ban on the Suzuki Samurai automobile
Film Premier
Baseball Record
Jun 4 Rickey Henderson steals 2 bases for record 249 as a NY Yankee
Rickey Henderson
- Jun 5 1st Children's Miracle Network Telethon raises $590,000
- Jun 5 Kay Cottee sails into Sydney as 1st woman to circle globe alone
- Jun 5 Laura Davies wins LPGA Jamie Farr Toledo Golf Classic
- Jun 5 Longest champagne cork flight is 177'9 in NY
- Jun 5 Russian orthodox church celebrates it's 1,000th anniversary
Tennis Open
Jun 5 87th Men's French Open: Mats Wilander beats Henri Leconte (7-5, 6-2, 6-1)
Mats Wilander
Henri Leconte
- Jun 5 87th Women's French Open: Steffi Graf beats Natalia Zvereva (6-0, 6-0)
- Jun 6 22nd Music City News Country Awards: Randy Travis & Statler Brothers
- Jun 6 3 giant turtles found in Bronx sewage plant
- Jun 6 George H. W. Bush makes campaign promise to support reparations for WW II to Japanese-American internees (promise broken, May 1989)
- Jun 7 Aluminum contaminates Cornwall's water supply
- Jun 8 Nippon Airways announces that painting eyeballs on Jets cut bird collisions by 20%
- Jun 9 "Bloodsport (1987)" premieres in Germany
- Jun 9 US Attorney General Edwin Meese orders Joseph Doherty deported to UK
- Jun 10 Greatest number of participants (31,678) on a bicycle tour (London)
- Jun 11 "Everything Your Heart Desires" by Daryl Hall & John Oates peaks at #3
- Jun 11 "Rooty Toot Toot" by John Cougar Mellencamp peaks at #61
- Jun 11 120th Belmont: Eddie Delahoussaye aboard Risen Star wins in 2:26.6
- Jun 11 25th Curtis Cup: British Isles, 11-7
- Jun 11 Freedomfest - Mandela addresses Wembley Stadium London
- Jun 11 Galina Chistyakova of USSR sets long jump woman's record (24"8½")
- Jun 11 Yanks' Rick Rhoden becomes 1st pitcher to DH (0 for 1 with an RBI)
- Jun 12 6th Seniors Players Golf Championship: Billy Casper
- Jun 12 Andy Hampton is 1st American to win Round of Italy
- Jun 12 Mei-Chi Cheng wins LPGA Rochester Golf International
- Jun 12 The Republic of Ireland beats England 1-0 at Euro88 thanks to a headed goal by Ray Houghton. This is Ireland's first competitive match at a major football tournament.
- Jun 13 45th time opposing pitchers hit HRs, Mark Davis (Padres)/Mike Krukow
- Jun 13 Boston Red Sox are 10 games back in AL, & go on to win AL East
- Jun 13 Fed jury finds Liggett liable in death of NJ woman of lung cancer
Event of Interest
Jun 13 George Harrison releases "This is Love"
George Harrison
- Jun 13 US Supreme Court refuses to hear Yonkers argument they aren't racist
- Jun 14 Woman sues Chuck Berry for $5,000,000, alleges he hit her
- Jun 14 "Guy" debut album by Guy is released
- Jun 15 NASA launches space vehicle S-213
- Jun 15 Turkish premier Özal meets Greek premier Papandreou in Athens
- Jun 16 Boston Red Sox Barrett steals home
- Jun 16 In Santa Barbara, CA, a team of 32 divers begin cycling underwater on a standard tricycle, to complete 116.66 mi in 75 hrs 20 mins
Event of Interest
Jun 17 Givens' Family reports Mike Tyson beats his wife Robin Givens
Mike Tyson
- Jun 17 Microsoft releases MS DOS 4.0
- Jun 17 Soyuz TM-5 launches
- Jun 17 Women sentenced to 90 years in 1st product tampering murder case
- Jun 18 Jeff Hamilton, hits 8,000th Dodger home run
- Jun 19 88th US Golf Open: Curtis Strange shoots a 278 at Country Club Mass
- Jun 19 Namphy takes control of Haitian government
- Jun 19 Shirley Furlong wins LPGA Lady Keystone Golf Open
- Jun 19 World's then largest sausage completed at 13 1/8 miles long
- Jun 19 32 divers finish cycling underwater on a standard tricycle, to complete 116.66 mi in 75 hrs 20 mins
- Jun 20 Coup in Haiti: Henri Namphy overthrows Leslie Manigat, general assembly dissolved
- Jun 20 NYC WABC-AM becomes flagship radio station of NJ Devils
- Jun 20 Price is Right model Janice Pennington is knocked out by a TV camera
- Jun 20 WABC officially becomes the NJ Devils new home radio
- Jun 20 Supreme Court upholds a law that made it illegal for private clubs to discriminate against women and minorities
- Jun 21 42nd NBA Championship: LA Lakers beat Detroit Pistons, 4 games to 3
- Jun 21 Many killed at demonstration against General Ne Win in Rangoon
- Jun 21 Rascals begin 1st tour in 20 years
- Jun 23 Charlotte Hornets & Miami Heat begin their NBA expansion draft
- Jun 23 Yanks manager Billy Martin's 5th term ends, Lou Pinella named manager
- Jun 24 Cleve pitcher Doug Jones sets record of 14 consecutive saves
- Jun 24 Red Sox begin AL record 23rd consecutive home win streak
- Jun 25 "Chess" closes at Imperial Theater NYC after 68 performances
- Jun 25 104°F highest temperature ever recorded in Cleveland in June
Event of Interest
Jun 25 Cal Ripken Jr plays in his 1,000th consecutive game
Cal Ripken Jr
- Jun 25 Expos Pitcher Floyd Youmans suspended for 60 days due to drugs
- Jun 25 Iceland's President Vigdis Finnbogadóttir elected (90+%)
- Jun 25 Kristen Logan, 17, of Mississippi, crowned America's Junior Miss
- Jun 25 UEFA European Championship: Netherlands defeat Soviet Union 2-0 in Munich
- Jun 25 Roger Rabbit Cartoon Character debuts in "Who Framed Roger Rabbit?"
- Jun 26 Kathy Postlewait wins LPGA McDonald's Golf Championship
- Jun 27 Mike Tyson KOs Michael Spink in 91 seconds, in Atlantic City ($67m)
- Jun 27 Reds bat out of order against Padres in 1st inning
- Jun 28 Mike Tyson sues to break contract with manager Bill Cayton
- Jun 29 Emmy 15th Daytime Award presentation - Susan Lucci loses for 9th time
- Jun 30 "Sledge Hammer!" last aires on ABC-TV
- Jun 30 Brooklyn dedicates a bus depot honoring Jackie Gleason
- Jun 30 Chicago agrees to build a new stadium so White Sox won't move to Florida
- Jun 30 French archbishop Marcel Lefebvre is excommunicated by the Roman Catholic Church.