Not all persons convicted of a felony are ineligible for obtaining a US passport.
Please contact the Federal Passport Agency for information related to your specific situation. Toll Free 1-877-487-2778
I’ve scoured the internet searching for an answer to this exact question. I’m not an expert, but it seems that a convicted felon CAN get a passport.
It seems that the passport is merely an international identification document much like a driver’s license.
It used to be that a passport wasn’t required for US citizens travelling to the Caribbeans (just a birth certificate and other identifying information), but that is changing with the issuance of passport cards
A felons in general are able to obtain passports but the final authority is the US Government. Even after you obtain a passport or passcard you still have the problem of being allowed to enter other countries. Many will restrict felons from entering (Australia) and some restrict based on the crime(s) involved (Canada, Brittan/UK). Some require that you only stay for a certain length of time and/or register upon arrival.
Keep in mind, we are discussing US passports as I’m sure other countries have their own methods. One thing I do know is that it is difficult for felons to permanently re-locate to another country because nearly all countries require a background check of some sort. The nature of the crime, I’m sure, makes a HUGE difference is who gets accepted or not. I used to know a website that could explain all the relocation requirements for many countries, but I’ve since lost it. However, you can google up some answers for that subject with something like (your country) permanent residency.