Typically a judge sentences you to a specific period of probation and you will be on probation until that period of time runs out. You could petition the court to close out your probation, but you should consider speaking with an attorney in your area before doing so.
You would still need court permission to terminate your probation early. You would need to file a motion to terminate your probation early but this can be done by the probation officer if your lucky enough to get a good one. Otherwise get an attorney to file the motion and argue for early termination. Good luck!
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Although I can't speak to GA law and procedure on this, my experience in PA and from what I've gathered over the years about this issue in several other jurisdictions, it basically works like this. As already stated you have been sentenced to a definite period of probation and logic might suggest that well that's the way it is. What I've found is the court systems like fines and costs and restitution to be paid in full. Commonly they're never paid in full. Probation departments like less work as opposed to more work. Therefore the system has an incentive to reward good behavior. If you have fulfilled all monetary obligations and other conditions imposed upon you and if your PO is in favor of the plan (ask him/her) then chances are pretty good that a motion to modify or terminate your probation could be successful. I highly recommend engaging the services of qualified criminal defense counsel to assist you in the effort to maximize the chance of success. Good luck.
Your probation officer can only put you on non-reporting probation after you have completed your probation condtions, he cannot terminate your probation; a judge must do that. You can petition the court for early termination of your probation. However, you will need an attorney to help you with that. Moreover, it is unlikely that you will receive an early termination from a judge if you have not been a model probationer. I note that you say there is a probation hold on you. That means you have not complied with your probation in some way. Now is not the time to be asking a judge to early terminate your probation.