32nd Regiment
- 32 (Scottish) Signal Regiment
- 32 Combat Engineer Regiment
- 32 Engineer Regiment (United Kingdom)
- 32nd (Cornwall) Regiment of Foot
- 32nd Alpine Engineer Regiment
- 32nd Armor Regiment (United States)
- 32nd Battalion (disambiguation)
- 32nd Brigade (disambiguation)
- 32nd Division (disambiguation)
- 32nd Field Artillery Regiment
- 32nd Illinois Volunteer Infantry Regiment
- 32nd Infantry Regiment (Greece)
- 32nd Infantry Regiment (United States)
- 32nd Iowa Volunteer Infantry Regiment
- 32nd Maine Infantry
- 32nd Regiment Alabama Infantry
- 32nd Regiment Indiana Infantry
- 32nd Regiment Kentucky Volunteer Infantry
- 32nd Regiment Royal Artillery
- 32nd Regiment of New York Volunteers
- 32nd Squadron (disambiguation)
- 32nd Wisconsin Volunteer Infantry Regiment
- Post Office Rifles