If you have been discharged they will be on your discharge paperwork known as a dd-214. If you are still in the service talk to your admin section about your service record.
The fastest and easiest way is to drop by on your local VFW or American Legion. Speak to their service officer and they can help you with all of the paperwork and the calls.
If you're out of the service, contact the VA. If you're still in, contact your old units or bases/commands and see if they have anything new for the time you were there.
ALL THE MILITARY MEDALS YOU EARNED SHOULD BE LISTED ON YOUR DD214 OTHER WISE YOU CAN CONTACT YOUR UNIT ADMINISTRATION OFFICE IF YOUR STILL ENLISTED THEY HAVE ACCESS TO YOUR PERSONEL FOLDER AND CAN LOOK IT UP FOR YOU.
go on Internet and type in "military medals" and search for it.
If you weren't awarded any, you're probably not entitled to them.