Federal law expressly bans people convicted of felonies, or who have been the subject of a Dishonorable Discharge from the military, from owning, possessing, or seeking to gain possession of firearms. If they are found guilty of any of the listed offenses, then it is another felony.
It can get even worse, though. I have heard of cases where a convicted felon has been charged with possession even though they are simply living with someone who legally owns a firearm. I’ve never bothered to look up any specific cases, so take this assertion with a grain of salt, but it does point up the very real concern that exists when felons have access to guns.
This desire to keep weapons out of the hands of felons in many states extends to less lethal defense tools as well. Felons are often banned from possessing stun guns and defensive sprays. Eugene Volokh thinks this is something that needs to be changed.
“Yet felons need self-defense tools, too. They may need self-defense tools more than the average nonfelon does: Being a felon dramatically hurts your career prospects, which means you’ll likely have to live in a poorer and therefore on average more crime-ridden part of town. And the legal bar on felons’ possessing firearms makes stun guns even more valuable to them.”