June 4 is the 155th day of the year (156th in leap years), with 210 days remaining.
- 1913 — Shige Sakakura is apprehended.
- 1933 — Audrey Marie Hilley is born.
- 1961 — Alfred Reginald Greenfield is murdered by William MacDonald.
- 1964 — Andrew Urdiales is born.
- 1985 — Aleksey Sukletin is apprehended.
- 1986 — Gladys May Hensley is murdered by John Charles Bolsinger.
- 1990 — Tony Ables is apprehended.
- 1993 — Jim Weber is attacked by Eddie Seda.
- 1999 — Noemi Dominguez and Josephine Konvicka are murdered by Ángel Maturino Reséndiz.
- 2008 — Anatoly Sedykh is apprehended.