AF Form 133 at a glance
What it is: The Oath of Office (Military Personnel) form is completed upon acceptance of an appointment or commission in the Air Force.
Who signs: Air Force officer's oaths of office should be taken before: (a) a civil officer authorized by the laws of the United States or local municipal law to administer oaths; (b) a commissioned officer of any U.S. Armed Force component, including reserves, whether active duty or retired (includes commissioned Army, Navy, Marine Corps, Coast Guard warrant officers); (c) a warrant officer who is serving on active duty as an adjutant, assistant adjutant, acting adjutant, or personnel adjutant. (Army, Navy, Marine Corps and Coast Guard warrant officers, W-1, receive their appointment by warrant and are not eligible to administer the oath unless serving on active duty as adjutants as listed in (c).) Navy, Marine Corps and Coast Guard chief warrant officers (CWO), W-2 through W-5, are appointed in those grades by commission and are authorized to administer oaths. Army CWOs appointed on or after 8 May 1986 receive their appointment by commission and are authorized to administer oaths. Before 8 May 1986, they received their appointment by warrant and are not eligible to administer oaths unless they were later granted a CWO appointment by commission or are serving on active duty as an adjutant as listed in (c). Retired Air Force warrant officers received their appointment by warrant and are not authorized to administer oaths.
When appointed or elected to an office of honor or trust under the Government of the United States, a person is required to take and subscribe the oath prescribed by 5 USC 3331 before entering upon the duties of office.
A filled-in AF Form 133 example: an officer takes the oath before a notary

How to fill out AF Form 133, box by box
Type of commission
Grade and category
Full name, grade, organization and signature
Administering official's name, grade, org and office

After "Sworn to and subscribed before me, at", the administering official fills in "this day of , 20" and types or prints the administering official's name, grade, org and office, then signs (Use Black Ink).
If a civil official administers the oath, it must bear the official seal of the person administering it. If the official does not use a seal, his/her capacity to administer oaths must be certified to under seal by a clerk of court or other proper local official. If a notary administers the oath, the expiration date of his or her commission must be included (if required by the State concerned) and the AF Form 133 must bear the notarial seal or indicia. Return the AF Form 133 to the headquarters tendering the appointment.
More rules for AF Form 133
The authority is 5 USC 3331, Oath of Office, and Executive Order 9397 (SSN), as amended. The form documents your acceptance of an appointment or commission to an office of honor or trust under the Government of the United States by taking and subscribing to the required oath before entering upon the duties of such office. The form becomes a part of your master personnel record.
The form may be completed electronically using the standard Air Force forms software, or printed using black ink.
10 USC 626 and 8394 eliminate the necessity of executing oath on promotion of officers.
Sources
[1] AF Form 133, Oath of Office (Military Personnel), U.S. Air Force (the Official source link on this page).




