| Squadron | Date | Act |
| 32nd Pursuit Squadron (interceptor) | 22 December 1939 | Constituted |
| | 1 February 1940 | Activated |
| 32nd Fighter Squadron | 15 May 1942 | Redesignated |
| 32nd Fighter Squadron (Single Engine) | 10 February 1944 | Redesignated |
| 32nd Fighter Squadron (Twin Engine) | 13 January 1945 | Redesignated |
| | 15 October 1946 | Inactivated |
| 32nd Fighter Day Squadron | 9 May 1955 | Redesignated |
| | 8 September 1955 | Activated |
| 32nd Tactical Fighter Squadron | 8 July 1958 | Redesignated |
| 32nd Fighter Interceptor Squadron | 8 July 1959 | Redesignated |
| 32nd Tactical Fighter Squadron | 1 July 1969 | Redesignated |
| 32nd Fighter Squadron | 1 November 1991 | Redesignated |
| 32nd Air Operations Squadron | 1 July 1994 | Redesignated |
| | 1 November 2005 | Inactivated |
