| Date | Weekday | Event |
| June 2, 455 | Wednesday | Gaiseric and the Vandals sack Rome |
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| June 2, 1851 | Monday | 1st Prohibition law enacted in Maine |
| June 2, 1858 | Wednesday | Donati Comet 1st seen named after it's discoverer |
| June 2, 1866 | Saturday | Renegade Irish Fenians surrender to US forces |
| June 2, 1873 | Monday | Ground broken on Clay Street for world's 1st cable railroad |
| June 2, 1873 | Monday | ground broken on Clay Street for world's 1st cable railroad |
| June 2, 1883 | Saturday | 1st night baseball under lights Ft Wayne IN |
| June 2, 1886 | Wednesday | 1st to wed during presidency-Grover Cleveland |
| June 2, 1902 | Monday | 1st statewide initiative and referendum law adopted - in Oregon |
| June 2, 1910 | Thursday | Pygmies discovered in Dutch New Guinea |
| June 2, 1924 | Monday | US citizenship granted to all American Indians |
| June 2, 1936 | Tuesday | Gen. Anastasio Somoza takes over as dictator of Nicaragua |
| June 2, 1941 | Monday | Yankee great Lou Gehrig dies at 37 |
| June 2, 1946 | Sunday | Italian plebiscite chooses republic over monarchy (National Day) |
| June 2, 1953 | Tuesday | Coronation of Queen Elizabeth II in Westminster Abbey |
| June 2, 1966 | Thursday | US Surveyor 1 lands in Oceanus Procellarum 1st moon soft-landing |
| June 2, 1967 | Friday | Sgt Pepper album released in US |
| June 2, 1977 | Thursday | NJ allows casino gambling in Atlantic City |
| June 2, 1979 | Saturday | John Paul II 1st pope to visit a communist country Poland |
| June 2, 1983 | Thursday | Toilet catches fire in Douglas DC-9 23 die at Cincinnati |
| June 2, 1984 | Saturday | Actress Jill Ireland had a radical masectomy |