This article lists events that occurred during 1972 in Estonia.

• Chairman of the Supreme Soviet is Ilmar Vahe.
• Chairman of the Supreme Soviet Presidium is Artur Vader.
• Chairman of the Council of Ministers is Valter Klauson.

• May 5 – Viru Hotel was opened.

• 3 February – Mart Poom, Estonian footballer

In 1972 Tallinnfilm company made movies:

• Väike reekviem suupillile ('Little Requiem for the Harmonica')
• Maaletulek ('To Come to the Shore')
• Verekivi ('Bloody Stone')