31st Division

31st Division may refer to:


 * 31st Division (German Empire), a unit of the Imperial German Army
 * 31st SS Volunteer Grenadier Division, a unit of the German Army
 * 31st Division (Imperial Japanese Army), a unit of the Imperial Japanese Army
 * 31 Infantry Division Calabria, a unit of the Italian Army
 * 31st Division (United Kingdom), a unit of the United Kingdom Army
 * 31st Infantry Division (Russian Empire), a unit of the Russian Empire
 * 21st Guards Motor Rifle Division (31st Guards Rifle Division), a unit of the Soviet Army
 * 31st Infantry Division (United States), a unit of the United States Army


 * Armoured divisions :
 * 31st 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 (Soviet Union), a unit of the Soviet Army


 * Aviation divisions :
 * 31st Air Division, a unit of the United States Air Force