June 1, 1958
13th Chess Olympiad — FIDE chess tournament for national teams
1958 European Athletics Championships — 1958 edition of the European Athletics Championships
1958 Cannes Film Festival — film festival edition
1958–60 Inter-Cities Fairs Cup — international football competition
1958 Formula One season — sports season
1958 World Men's Handball Championship — 1958 edition of the World Men's Handball Championship
1958 Asian Games — third edition of the Asian Games
Great Leap Forward — 1958–1962 Chinese socioeconomic campaign
1958–59 European Cup — 4th season of the UEFA club football tournament
Nuclear weapons security pact