
One of the things that will disqualify you from becoming a police officer is a Dishonorable Discharge from the military. Now notice I did not say “Other than Honorable”. I said “Dishonorable”. I get that question a lot also. Police departments do not really care if you failed out of basic training because you hurt your toe. As long as it was not a dishonorable discharge, you should be OK in this area, as long as you have a valid explanation.
When in doubt you should ask the agency you are applying to if something in particular you are concerned about will disqualify you or not. It is much better to ask BEFORE you even apply to save yourself the time and money. Also, it will come out in the background investigation anyway if you try to hide something, and that of course is an immediate disqualification.