31st Division may refer to:31st Division, a unit of the Imperial German Army 31st SS Volunteer Grenadier Division, a unit of the German Army 31st Division, a unit of the Imperial Japanese Army 31 Infantry Division Calabria, a unit of the Italian Army 31st Division, a unit of the United Kingdom Army 31st Infantry Division, a unit of the Russian Empire 21st Guards Motor Rifle Division, a unit of the Soviet Army 31st Infantry Division, a unit of the United States ArmyArmoured divisions31st Indian Armoured Division, a unit of British India during World War II 31st Armored Division (Israel), a reservist armored division in Israel that fought in the Six-Day War 31st Tank Division, a unit of the Soviet ArmyAviation divisions31st Air Division, a unit of the United States Air Force